Basic Information

Faculty

• 工学部

Professional Memberships

• London Mathematical Society
• Society for Industrial and Applied Mathematics
• American Mathematical Society
• THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
• THE MATHEMATICAL SOCIETY OF JAPAN

Academic Degree

• 1984

  Master of Engineering
• 1987

  Doctor of Engineering

Academic Resume (Graduate Schools)

• Tokyo Institute of Technology, Graduate School of Science and Engineering, Mechanical Engineering Science Master's Course, Completion
• Tokyo Institute of Technology, Graduate School of Science and Engineering, Mechanical Engineering Science Doctor's Course, Completion

Academic Resume (Undergraduate School/Majors)

• Tokyo Institute of Technology, Faculty of Engineering, Mechnical Engineering Science, Graduation

High School

• High School

  Chiba Prefectural Yakuendai High School

Research History

• From Apr. 2014

  Kyoto University, Graduate School of Infirmatics, Professor
• From Oct. 2012, To Mar. 2014

  Hiroshima University, Graduate School of Science, Professor
• From Apr. 2009, To Sep. 2012

  Niigata University, Professor
• From Aug. 2006, To Mar. 2009

  Gifu University, Professor
• From Jul. 1994, To Jul. 2006

  Gifu University, Associate Professor
• From Apr. 1994, To Jun. 1994

  Tamagawa University, Associate Professor
• From Apr. 1988, To Mar. 1994

  Tamagawa University, Lecturer
• From Apr. 1987, To Mar. 1988

  Tamagawa University, Research Associate

Language of Instruction

• Japanese
• English

ID,URL

• ORCID ID

  0000-0001-9901-248X

• J-Global ID

  200901096552399264

Website(s) (URL(s))

• http://yang.amp.i.kyoto-u.ac.jp/~yagasaki/index_j.html

researchmap URL

• https://researchmap.jp/kazuyuki_yagasaki

Research

Research Topics, Overview of the research

• Research Topics

  Dynamical systems theory and its applications

• Overview of the research

  Applying dynamical systems approaches, we study complicated phenomena such as chaos and bifurcations in various systems appearing in sciences, engineering and other disciplines and develops novel engineering technologies. For this purpose, we not only use standard approaches but also develop new innovative theories in dynamical systems. We also utilize numerical approaches such as verifiable computation.

Research Interests

• Dynamical system
• Chaos
• Nonintegrability
• Bifurcation
• Nonlinear wave

Research Areas

• Informatics, Computational science
• Natural sciences, Mathematical analysis
• Natural sciences, Applied mathematics and statistics
• Natural sciences, Basic mathematics

Papers

• A new proof of Poincaré’s result on the restricted three-body problem

  Kazuyuki Yagasaki

  Journal of Mathematical Physics, 01 May 2025

  
• Correction to: Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets (Archive for Rational Mechanics and Analysis, (2023), 247, 3, (44), 10.1007/s00205-023-01880-x)

  Motonaga, S.; Yagasaki, K.

  Archive for Rational Mechanics and Analysis, 2023

  
• Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator with single well potential

  Yagasaki, Kazuyuki

  Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences, 1994

  
• Semiclassical perturbations of single-degree–of–freedom Hamiltonian systems I: Separatrix splitting

  Tomoki Ohsawa; Kazuyuki Yagasaki

  Journal of Mathematical Physics, 01 Oct. 2024

  
• Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems II: Nonintegrability

  Kazuyuki Yagasaki

  Journal of Mathematical Physics, 01 Oct. 2024

  
• Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

  Kazuyuki Yagasaki; Shotaro Yamazoe

  Japan Journal of Industrial and Applied Mathematics, 2021, Peer-reviewed

  
• Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits

  Yagasaki, K.

  Physica D: Nonlinear Phenomena, Aug. 2024

  
• Non-integrability of the restricted three-body problem

  Yagasaki, K.

  Ergodic Theory and Dynamical Systems, Oct. 2024, Peer-reviewed

  
• Nonintegrability of dissipative planar systems

  Yagasaki, K.

  Physica D: Nonlinear Phenomena, May 2024, Peer-reviewed

  
• Erratum: Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems (Nonlinearity (2013) 26 (1345))

  Yagasaki, K.

  Nonlinearity, 2013

  
• CHAOTIC DYNAMICS OF QUASI-PERIODICALLY FORCED OSCILLATORS DETECTED BY MELNIKOV METHOD

  YAGASAKI, K

  Siam Journal on Mathematical Analysis, 1992

  
• 2ND-ORDER AVERAGING AND CHAOS IN QUASIPERIODICALLY FORCED WEAKLY NONLINEAR OSCILLATORS

  YAGASAKI, K

  Physica D, 1990

  
• 2ND-ORDER AVERAGING AND CHAOS IN QUASIPERIODICALLY FORCED WEAKLY NONLINEAR OSCILLATORS

  YAGASAKI, K

  Physica D, 1990

  
• Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two

  Yagasaki, K.

  Journal of Differential Equations, Nov. 2023, Peer-reviewed

  
• Nonintegrability of the SEIR epidemic model

  Yagasaki, K.

  Physica D: Nonlinear Phenomena, Nov. 2023, Peer-reviewed

  
• Periodic Perturbations of Codimension-Two Bifurcations with a Double Zero Eigenvalue in Symmetrical Dynamical Systems

  Yagasaki, K.

  International Journal of Bifurcation and Chaos, 30 Sep. 2023, Peer-reviewed

  
• Correction to: Continuum Limits of Coupled Oscillator Networks Depending on Multiple Sparse Graphs

  Ryosuke Ihara; Kazuyuki Yagasaki

  Journal of Nonlinear Science, Feb. 2025, Peer-reviewed

  
• Optimal control of the SEIR epidemic model using a dynamical systems approach

  Takeguchi, Y.; Yagasaki, K.

  Japan Journal of Industrial and Applied Mathematics, Jan. 2024, Peer-reviewed

  
• Integrability of the Zakharov-Shabat Systems by Quadrature

  Yagasaki, K.

  Communications in Mathematical Physics, May 2023, Peer-reviewed

  
• Nonintegrability of Dynamical Systems Near Degenerate Equilibria

  Yagasaki, K.

  Communications in Mathematical Physics, Mar. 2023, Peer-reviewed

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• Chebyshev spectral methods for computing center manifolds

  Takeshi Saito; Kazuyuki Yagasaki

  Journal of Computational Dynamics, 2021, Peer-reviewed

  
• Nonintegrability of forced nonlinear oscillators

  Shoya Motonaga; Kazuyuki Yagasaki

  Japan Journal of Industrial and Applied Mathematics, 25 May 2023, Peer-reviewed

  
• Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets

  Shoya Motonaga; Kazuyuki Yagasaki

  Archive for Rational Mechanics and Analysis, 24 Apr. 2023, Peer-reviewed

  
• Nonintegrability of Nearly Integrable Dynamical Systems Near Resonant Periodic Orbits

  Yagasaki, K.

  Journal of Nonlinear Science, Aug. 2022, Peer-reviewed

  
• Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

  Kazuyuki Yagasaki; Shotaro Yamazoe

  Journal of Differential Equations, Nov. 2023, Peer-reviewed

  
• Existence of finite time blow-up solutions in a normal form of the subcritical Hopf bifurcation with time-delayed feedback for small initial functions

  Kazuyuki Yagasaki

  Discrete and Continuous Dynamical Systems - B, 2022, Peer-reviewed

  
• Optimal control of the SIR epidemic model based on dynamical systems theory

  Kazuyuki Yagasaki

  Discrete and Continuous Dynamical Systems - B, 2022, Peer-reviewed

  
• Analytic and Algebraic Conditions for Bifurcations of Homoclinic Orbits II: Reversible Systems

  Yagasaki, K.

  Journal of Dynamics and Differential Equations, Jun. 2023, Peer-reviewed

  
• Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems

  Shoya Motonaga; Kazuyuki Yagasaki

  Nonlinearity, 01 Nov. 2021, Peer-reviewed

  
• Numerical analyses for spectral stability of solitary waves near bifurcation points

  Yagasaki, K.; Yamazoe, S.

  Japan Journal of Industrial and Applied Mathematics, 10 Feb. 2021, Peer-reviewed

  
• Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in Rd for d = 3,4

  Kazuyuki Yagasaki; Tomasz Stachowiak

  Journal of Mathematical Analysis and Applications, Apr. 2020, Peer-reviewed

  
• Nonintegrability of the unfoldings of codimension-two bifurcations

  Acosta-Hum{\'a}nez, P.; B; Yagasaki, K.

  Nonlinearity, 01 Apr. 2020, Peer-reviewed

  
• Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers

  Kazuyuki Yagasaki

  Symmetry, Integrability and Geometry: Methods and Applications, 02 Jul. 2019, Peer-reviewed

  
• Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems

  Yagasaki, K.; Yamazoe, S.

  SIAM Journal on Applied Dynamical Systems, Jan. 2019, Peer-reviewed

  
• Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics

  Kazuyuki Yagasaki

  Regular and Chaotic Dynamics, Jul. 2018, Peer-reviewed

  
• Melnikov processes and chaos in randomly perturbed dynamical systems

  Kazuyuki Yagasaki

  Nonlinearity, 25 May 2018, Peer-reviewed

  
• Nonintegrability of Parametrically Forced Nonlinear Oscillators

  Shoya Motonaga; Kazuyuki Yagasaki

  Regular and Chaotic Dynamics, 01 May 2018, Peer-reviewed

  
• Nonintegrability of the unfolding of the fold-Hopf bifurcation

  Kazuyuki Yagasaki

  Nonlinearity, 02 Jan. 2018, Peer-reviewed

  
• Nonintegrability of dynamical systems with homo- and heteroclinic orbits

  Kazuyuki Yagasaki; Shogo Yamanaka

  JOURNAL OF DIFFERENTIAL EQUATIONS, Jul. 2017, Peer-reviewed

  
• Rough external feedback control of microcantilevers in atomic force microscopy

  Kazuyuki Yagasaki

  NONLINEAR DYNAMICS, Mar. 2017, Peer-reviewed

  
• Horseshoes for the nearly symmetric heavy top

  G. H. M. van der Heijden; Kazuyuki Yagasaki

  ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, Apr. 2014, Peer-reviewed

  
• Monotonicity of the period function for u ''-u+u(P)=0 with p is an element of R and p > 1

  Kazuyuki Yagasaki

  JOURNAL OF DIFFERENTIAL EQUATIONS, Oct. 2013, Peer-reviewed

  
• Nonlinear dynamics and bifurcations in external feedback control of microcantilevers in atomic force microscopy

  Kazuyuki Yagasaki

  Communications in Nonlinear Science and Numerical Simulation, Oct. 2013, Peer-reviewed

  
• APPLICATION OF THE SUBHARMONIC MELNIKOV METHOD TO PIECEWISE-SMOOTH SYSTEMS

  Kazuyuki Yagasaki

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, May 2013, Peer-reviewed

  
• Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems

  Kazuyuki Yagasaki

  Nonlinearity, May 2013, Peer-reviewed

  
• Monotonicity of the first eigenvalue and the global bifurcation diagram for the branch of interior peak solutions

  Yasuhito Miyamoto; Kazuyuki Yagasaki

  JOURNAL OF DIFFERENTIAL EQUATIONS, Jan. 2013, Peer-reviewed

  
• Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria

  David Blazquez-Sanz; Kazuyuki Yagasaki

  JOURNAL OF DIFFERENTIAL EQUATIONS, Dec. 2012, Peer-reviewed

  
• Galoisian approach for a Sturm-Liouville problem on the infinite interval

  David Blázquez-Sanz; Kazuyuki Yagasaki

  Methods and Applications of Analysis, Sep. 2012, Peer-reviewed

  
• Families of solitons in Bragg supergratings

  Boris A. Malomed; Thomas Wagenknecht; Kazuyuki Yagasaki

  PHYSICA D-NONLINEAR PHENOMENA, Jun. 2012, Peer-reviewed

  
• Nonintegrability of an extensible conducting rod in a uniform magnetic field

  G. H. M. van der Heijden; K. Yagasaki

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Dec. 2011, Peer-reviewed

  
• Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem

  Mitsuru Shibayama; Kazuyuki Yagasaki

  CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, May 2011, Peer-reviewed

  
• HIGHER-ORDER MELNIKOV METHOD AND CHAOS FOR TWO-DEGREE-OF-FREEDOM HAMILTONIAN SYSTEMS WITH SADDLE-CENTERS

  Kazuyuki Yagasaki

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Jan. 2011, Peer-reviewed

  
• New control methodology of microcantilevers in atomic force microscopy

  Kazuyuki Yagasaki

  PHYSICS LETTERS A, Nov. 2010, Peer-reviewed

  
• Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem

  Mitsuru Shibayama; Kazuyuki Yagasaki

  NONLINEARITY, Oct. 2009, Peer-reviewed

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• Chaotic Motion of the N-Vortex Problem on a Sphere: I. Saddle-Centers in Two-Degree-of-Freedom Hamiltonians

  Takashi Sakajo; Kazuyuki Yagasaki

  JOURNAL OF NONLINEAR SCIENCE, Oct. 2008, Peer-reviewed

  
• Chaotic motion of the N-vortex problem on a sphere: II. Saddle centers in three-degree-of-freedom Hamiltonians

  Takashi Sakajo; Kazuyuki Yagasaki

  PHYSICA D-NONLINEAR PHENOMENA, Aug. 2008, Peer-reviewed

  
• Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals

  Kazuyuki Yagasaki

  DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2008, Peer-reviewed

  
• Extension of a chaos control method to unstable trajectories on infinite - or finite-time intervals: Experimental verification

  Kazuyuki Yagasaki

  PHYSICS LETTERS A, Aug. 2007, Peer-reviewed

  
• Bifurcations and chaos in vibrating microcantilevers of tapping mode atomic force microscopy

  Kazuyuki Yagasaki

  INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, May 2007, Peer-reviewed

  
• Gap solitons in Bragg gratings with a harmonic superlattice

  K Yagasaki; IM Merhasin; BA Malomed; T Wagenknecht; AR Champneys

  EUROPHYSICS LETTERS, Jun. 2006, Peer-reviewed

  
• Detection of symmetric homoclinic orbits to saddle-centres in reversible systems

  K Yagasaki; T Wagenknecht

  PHYSICA D-NONLINEAR PHENOMENA, Feb. 2006, Peer-reviewed

  
• Discrete embedded solitons

  K Yagasaki; AR Champneys; BA Malomed

  NONLINEARITY, Nov. 2005, Peer-reviewed

  
• Homoclinic and heteroclinic orbits to invariant tori in multi-degree-of-freedom Hamiltonian systems with saddle-centres

  K Yagasaki

  NONLINEARITY, May 2005, Peer-reviewed

  
• Exclusion of false periodic orbits detected from chaotic time series

  K Yagasaki; M Kouyama

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Feb. 2005, Peer-reviewed

  
• Nonlinear dynamics of vibrating microcantilevers in tapping-mode atomic force microscopy

  K Yagasaki

  PHYSICAL REVIEW B, Dec. 2004, Peer-reviewed

  
• Experimental estimate of viscoelastic properties for ionic polymer-metal composites

  K Yagasaki; H Tamagawa

  PHYSICAL REVIEW E, Nov. 2004, Peer-reviewed

  
• Experimental estimate of viscoelastic properties for ionic polymer-metal composites

  Yagasaki, K.; Tamagawa, H.

  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Nov. 2004, Peer-reviewed

  
• Computation of low energy Earth-to-Moon transfers with moderate flight time

  K Yagasaki

  PHYSICA D-NONLINEAR PHENOMENA, Oct. 2004, Peer-reviewed

  
• Sun-perturbed earth-to-moon transfers with low energy and moderate flight time

  K Yagasaki

  CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, Sep. 2004, Peer-reviewed

  
• An interpretation of amphoteric gel hardness variation through potential and hardness measurement

  H Tamagawa; F Nogata; K Yagasaki

  JOURNAL OF COLLOID AND INTERFACE SCIENCE, Jul. 2004, Peer-reviewed

  
• Galoisian obstructions to integrability and Melnikov criteria for chaos in two-degree-of-freedom Hamiltonian systems with saddle centres

  K Yagasaki

  NONLINEARITY, Nov. 2003, Peer-reviewed

  
• Nonintegrability of an infinite-degree-of-freedom model for unforced and undamped, straight beams

  K Yagasaki

  JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Sep. 2003, Peer-reviewed

  
• Degenerate resonances in forced oscillators

  K Yagasaki

  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, Aug. 2003, Peer-reviewed

  
• Influence of metal plating treatment on the electric response of Nafion

  H. Tamagawa; F. Nogata; T. Watanabe; A. Abe; K. Yagasaki; J. Y. Jin

  Journal of Materials Science, 01 Mar. 2003, Peer-reviewed

  
• Mechanical characteristics of ionic polymer-metal composite in the process of self-bending

  H Tamagawa; K Yagasaki; F Nogata

  JOURNAL OF APPLIED PHYSICS, Dec. 2002, Peer-reviewed

  
• Melnikov's method and codimension-two bifurcations in forced oscillations

  K Yagasaki

  JOURNAL OF DIFFERENTIAL EQUATIONS, Oct. 2002, Peer-reviewed

  
• Numerical evidence of fast diffusion in a three-degree-of-freedom Hamiltonian system with a saddle-center

  K Yagasaki

  PHYSICS LETTERS A, Aug. 2002, Peer-reviewed

  
• Detection of homoclinic bifurcations in resonance zones of forced oscillators

  K Yagasaki

  NONLINEAR DYNAMICS, May 2002, Peer-reviewed

  
• External feedback control of chaos using approximate periodic orbits

  K Yagasaki; M Kumagai

  PHYSICAL REVIEW E, Feb. 2002, Peer-reviewed

  
• Experimental control of chaos by modifications of delayed feedback

  K Yagasaki; Y Tochio

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Dec. 2001, Peer-reviewed

  
• Bifurcations and chaos in forced, coupled pendula

  YAGASAKI Kazuyuki

  Proceedings of the ASME Design Engineering Technical Conference, Sep. 2001

  
• Homoclinic and heteroclinic behavior in an infinite-degree-of-freedom Hamiltonian system: Chaotic free vibrations of an undamped, buckled beam

  K Yagasaki

  PHYSICS LETTERS A, Jun. 2001, Peer-reviewed

  
• Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers

  K Yagasaki

  ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, Peer-reviewed

  
• Periodic and homoclinic motions in forced, coupled oscillators

  K Yagasaki

  NONLINEAR DYNAMICS, Dec. 1999, Peer-reviewed

  
• Codimension-two bifurcations in a pendulum with feedback control

  K Yagasaki

  INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, Nov. 1999, Peer-reviewed

  
• Dynamics of a pendulum with feedforward and feedback control

  YAGASAKI Kazuyuki

  JSME International Journal C, Sep. 1999, Peer-reviewed

  
• The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems

  K Yagasaki

  NONLINEARITY, Jul. 1999, Peer-reviewed

  
• Higher-order averaging for periodically forced, weakly nonlinear systems

  K Yagasaki; T Ichikawa

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Mar. 1999, Peer-reviewed

  
• Detection of bifurcation structures by higher-order averaging for Duffing's equation

  K Yagasaki

  NONLINEAR DYNAMICS, Feb. 1999, Peer-reviewed

  
• Controlling chaos using nonlinear approximations for a pendulum with feedforward and feedback control

  K Yagasaki; S Yamashita

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Jan. 1999, Peer-reviewed

  
• Homoclinic tangles, phase locking, and chaos in a two-frequency perturbation of Duffing's equation

  K Yagasaki

  JOURNAL OF NONLINEAR SCIENCE, Jan. 1999, Peer-reviewed

  
• Controlling chaos using nonlinear approximations and delay coordinate embedding

  K Yagasaki; T Uozumi

  PHYSICS LETTERS A, Oct. 1998, Peer-reviewed

  
• Numerical detection and continuation of homoclinic points and their bifurcations for maps and periodically forced systems

  K Yagasaki

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Jul. 1998, Peer-reviewed

  
• Dynamics of a simple model for a wind-loaded nonlinear structure: Bifurcations of codimension one and two

  K Yagasaki

  JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Jun. 1998, Peer-reviewed

  
• Higher-order averaging and ultra-subharmonics in forced oscillators

  K Yagasaki

  JOURNAL OF SOUND AND VIBRATION, Mar. 1998, Peer-reviewed

  
• A new approach for controlling chaotic dynamical systems

  K Yagasaki; T Uozumi

  PHYSICS LETTERS A, Feb. 1998, Peer-reviewed

  
• Controlling chaos in a pendulum subjected to feed forward and feedback control

  K Yagasaki; T Uozumi

  INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, Dec. 1997, Peer-reviewed

  
• The Melnikov theory for subharmonics and their bifurcations in forced oscillations

  K Yagasaki

  SIAM JOURNAL ON APPLIED MATHEMATICS, Dec. 1996, Peer-reviewed

  
• A simple feedback control system: Bifurcations of periodic orbits and chaos

  K Yagasaki

  NONLINEAR DYNAMICS, Apr. 1996, Peer-reviewed

  
• Second-order averaging and Melnikov analyses for forced non-linear oscillators

  K Yagasaki

  JOURNAL OF SOUND AND VIBRATION, Mar. 1996, Peer-reviewed

  
• Chaos in the Duffing System Subjected to Parametric and External Excitation : 1st Report, Homoclinic Behavior near the Unperturbed Separatrices

  Yagasaki Kazuyuki

  Transactions of the Japan Society of Mechanical Engineers. C, Jun. 1995, Peer-reviewed

  
• BIFURCATIONS AND CHAOS IN A QUASI-PERIODICALLY FORCED BEAM - THEORY, SIMULATION AND EXPERIMENT

  K YAGASAKI

  JOURNAL OF SOUND AND VIBRATION, May 1995, Peer-reviewed

  
• CHAOS IN A PENDULUM WITH FEEDBACK-CONTROL

  K YAGASAKI

  NONLINEAR DYNAMICS, Sep. 1994, Peer-reviewed

  
• HOMOCLINIC MOTION AND CHAOS IN THE QUASI-PERIODICALLY FORCED VANDERPOL-DUFFING OSCILLATOR WITH SINGLE WELL POTENTIAL

  K YAGASAKI

  PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Jun. 1994, Peer-reviewed

  
• CHAOTIC MOTIONS NEAR HOMOCLINIC MANIFOLDS AND RESONANT TORI IN QUASI-PERIODIC PERTURBATIONS OF PLANAR HAMILTONIAN-SYSTEMS

  K YAGASAKI

  PHYSICA D, Dec. 1993, Peer-reviewed

  
• CHAOTIC DYNAMICS OF A QUASI-PERIODICALLY FORCED BEAM

  K YAGASAKI

  JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Mar. 1992, Peer-reviewed

  
• CHAOS IN A WEAKLY NONLINEAR OSCILLATOR WITH PARAMETRIC AND EXTERNAL RESONANCES

  K YAGASAKI

  JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Mar. 1991, Peer-reviewed

  
• DYNAMICS OF A WEAKLY NONLINEAR-SYSTEM SUBJECTED TO COMBINED PARAMETRIC AND EXTERNAL EXCITATION

  K YAGASAKI; M SAKATA; K KIMURA

  JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Mar. 1990, Peer-reviewed

  
• First Passage Probability and Probability Distribution of Level Crossings for A Nonlinear System to Nonwhite Excitation

  YAGASAKI Kazuyuki; KIMURA Koji; SAKATA Masaru

  Transactions of the Japan Society of Mechanical Engineers. C, Nov. 1987, Peer-reviewed

  
• The Level Crossing Problem of A Linear System Subjected to Nonwhite Excitation

  KIMURA Koji; YAGASAKI Kazuyuki; SAKATA Masaru

  Transactions of the Japan Society of Mechanical Engineers. C, Aug. 1987, Peer-reviewed

  
• RANDOM VIBRATIONS OF A BEAM STRUCTURE WITH ELASTOPLASTIC HYSTERESIS

  KIMURA Koji; YAGASAKI Kazuyuki; YOSHIMURA Hiroshi; SAKATA Masaru

  Transactions of the Japan Society of Mechanical Engineers. C, Dec. 1986, Peer-reviewed

  
• Estimation of First Passage Probability and Probability Distribution of Level Crossings in Random Vibration

  YAGASAKI Kazuyuki; KIMURA Koji; SAKATA Masaru

  Transactions of the Japan Society of Mechanical Engineers. C, Feb. 1986, Peer-reviewed

  
• Non-Stationary Responses of a System with Bilinear Hysteresis Subjected to Non-White Random Excitation

  KIMURA Koji; YAGASAKI Kazuyuki; SAKATA Masaru

  Transactions of the Japan Society of Mechanical Engineers. C, Feb. 1984, Peer-reviewed

  
• NON-STATIONARY RESPONSES OF A SYSTEM WITH BILINEAR HYSTERESIS SUBJECTED TO NON-WHITE RANDOM-EXCITATION

  K KIMURA; K YAGASAKI; M SAKATA

  JOURNAL OF SOUND AND VIBRATION, 1983, Peer-reviewed

  

Misc.

• Some Recent Results on Nonintegrability of Dynamical Systems

  Kazuyuki Yagasaki

  数理解析研究所講究録, Nov. 2023, Invited, Lead author, Corresponding author

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• Optimal control of the SIR epidemic model

  Yagasaki, Kazuyuki

  数理解析研究所講究録, Apr. 2021, Lead author, Corresponding author

  
• Random Vibrations of a Beam Structure with Elastoplastic Hysteresis : Series C : Vibration, Control Engineering, Engineering for Industry

  KIMURA Koji; YAGASAKI Kazuyuki; YOSHIMURA Hiroshi; SAKATA Masaru

  JSME international journal : bulletin of the JSME, 15 Aug. 1987

  
• An Experimental study of Controlling Chaos by Modifications of Delayed Feedback

  YAGASAKI Kazuyuki; TOCHIO Yoshiyuki

  東海支部総会講演会講演論文集, 01 Mar. 2000

  
• Bifurcations of homoclinic orbits in reversible systems

  Kazuyuki Yagasaki

  RIMS Kokyuroku, May 2020, Invited

  
• Nonintegrability and Chaos in Hamiltonian Systems with Saddle-Centers

  Kazuyuki Yagasaki

  RIMS Kokyuroku, Dec. 2019, Invited

  
• Chaos in randomly perturbed dynamical systems

  YAGASAKI Kazuyuki

  RIMS Kokyuroku, Apr. 2015

  
• Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems

  Kazuyuki Yagasaki

  Nonlinear Dynamics in Partial Differential Equations, 2015

  
• 不規則摂動系におけるカオス現象 (偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析)

  矢ヶ崎 一幸

  数理解析研究所講究録, Sep. 2014

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• Bifurcation diagram for interior single-peak solutions in a Neumann problem for $u''+\lambda(-u + u^p)=0$ with $p\in\mathbb{R}$ and $p>1$ (Progress in Qualitative Theory of Ordinary Differential Equations)

  Yagasaki Kazuyuki

  RIMS Kokyuroku, Jun. 2014

  
• 非対称コマにおける馬蹄力学の存在 (力学系 : 理論から応用へ、応用から理論へ)

  矢ヶ崎 一幸

  数理解析研究所講究録, May 2011

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• Application of the Subharmonic Melnikov Method to Piecewise-Linear Systems

  YAGASAKI Kazuyuki

  Dynamics & Design Conference, Sep. 2010

  
• Dynamical Systems Approach to Hamilton-Jacobi Equations for Nonlinear Control Systems

  YAGASAKI Kazuyuki

  Dynamics & Design Conference, Sep. 2010

  
• 二等辺三体問題の三体衝突間のヘテロクリニック軌道と相対周期軌道 (幾何学的力学系理論とその周辺)

  柴山 允瑠; 矢ヶ崎 一幸

  数理解析研究所講究録, Jun. 2010

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• 可逆系における1パラメータ周期軌道族の分岐 (双曲型力学系から大自由度力学系へ)

  矢ヶ崎 一幸

  数理解析研究所講究録, May 2010

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• Gray-Scottモデルにおける定常パルス解の不安定多様体に対する数値解析 (非線形波動現象の数理と応用)

  矢ヶ崎 一幸

  数理解析研究所講究録, Apr. 2009

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• Dynamical Systems Approach to Hamilton-Jacobi Equations for Nonlinear Control Systems

  YAGASAKI Kazuyuki

  Dynamics & Design Conference, Sep. 2008

  
• Present and Future of Nonlinear Dynamics According to a Nonlinear Dynamicist

  YAGASAKI KAZUYUKI

  J Syst Des Dyn (Web), 2008

  
• Global Perturbation Method for Hamilton-Jacobi Equations of Nonlinear Control Systems

  YAGASAKI Kazuyuki; SAKAMOTO Noboru; HIRATA Yoshihiro

  IEICE technical report. Nonlinear problems, Dec. 2007

  
• Extension of a chaos control method to hyperbolic unstable trajectories defined on infinite- or finite-time intervals

  YAGASAKI Kazuyuki

  Dynamics & Design Conference, Sep. 2007

  
• Chaos in the N-vortex problem on sphere

  Sakajo Takashi; Yagasaki Kazuyuki

  Proceedings, ... meeting of Japan Society of Fluid Mechanics, Aug. 2007

  
• Perturbation Approach for Hamilton-Jacobi Equations of Nonlinear Control Systems : II. When all directions near equilibria are unstable

  HIRATA Yoshihiro; YAGASAKI Kazuyuki; SAKAMOTO Noboru

  Dynamics and Design Conference, Aug. 2007

  
• Perturbation Approach for Hamilton-Jacobi Equations of Nonlinear Control Systems : I. When stable directions near equilibria exist

  YAGASAKI Kazuyuki; HIRATA Yoshihiro; SAKAMOTO Noboru

  Dynamics and Design Conference, Aug. 2007

  
• Heteroclinic Jumps for Whiskered Tori in Nearly Integrable Hamiltonian Systems(Recent Developments in Dynamical Systems)

  Yagasaki Kazuyuki

  RIMS Kokyuroku, May 2007

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• 力学系理論の工学的応用 : 宇宙ロケット, 2足歩行ロボットおよびマイクロカンチレバー(非線形現象のモデル化とその数理解析)

  矢ヶ崎 一幸

  数理解析研究所講究録, Oct. 2006

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• Nonlinear Dynamics of Microcantilevers in Tapping Mode Atomic Force Microscopy

  YAGASAKI Kazuyuki

  Dynamics & Design Conference, Aug. 2006

  
• Nonlinear Model for Electric Responses of Ionic Polymer-Metal Composites

  YAGASAKI Kazuyuki; TAMAGAWA Hirohisa; NAKAMURA Fumiaki

  Dynamics & Design Conference, Aug. 2006

  
• Fast Diffusion in Multi-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers(New Trends and Applications of Complex Asymptotic Analysis : around dynamical systems, summability, continued fractions)

  Yagasaki Kazuyuki

  RIMS Kokyuroku, May 2006

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• 連続系と格子系における embedded ソリトン(力学系の研究 : トポロジーと計算機による新展開)

  矢ヶ崎 一幸

  数理解析研究所講究録, Apr. 2006

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• Nonlinear analyses for the dynamics of microcantilevers in tapping mode atomic force microscopy

  YAGASAKI Kazuyuki

  Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, Aug. 2005

  
• Chaos and diffusion in four-dimensional，non-conservative，reversible systems with saddle-centers

  YAGASAKI Kazuyuki

  Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, Aug. 2005

  
• Existence of horseshoes in the generalized Henon-Heiles system under degenerate conditions

  YAGASAKI Kazuyuki

  Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, Aug. 2005

  
• Detection of homoclinic and heteroclinic behavior in Hamiltonian systems with saddle-centers

  K Yagasaki

  EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, Invited

  
• Analytical Approach to Chaotic Dynamics of Hamiltonian Systems(Special Issue on Nonlinear Dynamical Systems and Control)

  YAGASAKI Kazuyuki

  Systems, control and information, Jan. 2005, Invited

  
• 無限あるいは有限時間区間上で定義された非周期軌道の不変多様体と制御 (力学系理論の展開と応用)

  矢ヶ崎 一幸

  数理解析研究所講究録, Apr. 2004

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• サドル・センターを有するハミルトン系の非可積分性とカオス (力学系理論の展開と応用)

  矢ヶ崎 一幸

  数理解析研究所講究録, Apr. 2004

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• Equadiff 2003

  Kokubu Hiroshi; Kazuyuki Yagasaki; Masaharu Taniguchi

  Bulletin of the Japan Society for Industrial and applied Mathematics, Mar. 2004, Invited

  
• New Attempts at Application of Dynamical Systems Theory : Part 1 : Spacecraft and Walking Robot

  YAGASAKI Kazuyuki

  IEICE technical report. Nonlinear problems, Mar. 2004

  
• New Attempts at Application of Dynamical Systems Theory : Part 2 : Nanotechnology

  YAGASAKI Kazuyuki

  IEICE technical report. Nonlinear problems, Mar. 2004

  
• Low Energy Transfer Trajectories of a Spacecraft from the Earth to the Moon

  YAGASAKI Kazuyuki

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D, Sep. 2003

  
• サドル・センターを有するハミルトン系における可積分性へのガロア的障壁,メル二コフ関数およびアーノルド拡散型現象 : 「力学系理論,可積分系,および,まとめ」 (近可積分ハミルトン系の数理と応用)

  矢ヶ崎 一幸

  数理解析研究所講究録, Sep. 2002

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• Free Vibrations of an Undamped, Straight Beam : Nonintegrability of Its Equation of Motion

  YAGASAKI Kazuyuki

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D, Sep. 2002

  
• Exclusion of false periodic orbits detected from chaotic time series

  KOUYAMA Masatoshi; YAGASAKI Kazuyuki

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D, Sep. 2002

  
• Detection of subharmonics and their bifurcations in forced oscillations: Some extensions of the subharmonic Melnikov method

  YAGASAKI Kazuyuki

  Recent Research Developments in Sound and Vibration, Jun. 2002, Invited

  
• Degenerate Resonances in Strongly Nonlinear Systems

  YAGASAKI Kazuyuki

  東海支部総会講演会講演論文集, Mar. 2002

  
• Bending curvature and generated force by Nafion actuator

  H Tamagawa; F Nogata; T Watanabe; A Abe; K Yagasaki

  IEEE ICIT' 02: 2002 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY, VOLS I AND II, PROCEEDINGS, 2002

  
• Detection of Unstable Periodic Orbits from Chaotic Time Series

  YAGASAKI Kazuyuki; KOUYAMA Masatoshi

  東海支部地区講演会講演論文集, Sep. 2001

  
• Motions of a Rigid Body with Collisions: Comparison between Numerical Analysis and Experimental Results

  YAGASAKI Kazuyuki

  茨城講演会講演論文集 : Ibaraki district conference, Sep. 2001

  
• Nonlinear Behavior in Forced, Coupled Pendula

  YAGASAKI Kazuyuki

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D, Aug. 2001

  
• External Feedback Chaos Control Using Approximate Periodic Orbits

  YAGASAKI Kazuyuki; KUMAGAI Moriyoshi

  The proceedings of the JSME annual meeting, Aug. 2001

  
• サドル・センターを有する多自由度ハミルトン系の非可積分性とアーノルド拡散 (力学系理論の新しい展開)

  矢ヶ崎 一幸

  数理解析研究所講究録, Dec. 2000

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• Complicated Behavior in Rotary Motions of a Forced, Damped Pendulum

  YAGASAKI Kazuyuki

  Dynamics and Design Conference : 機械力学・計測制御講演論文集 : D & D, Sep. 2000

  
• Three-Dimensional Motions of a Rigid Body Colliding with Complicated Surfaces

  YAGASAKI Kazuyuki

  茨城講演会講演論文集 : Ibaraki district conference, Sep. 2000

  
• 力学系理論と応用(研究展望)

  矢ヶ崎 一幸

  日本機械学會論文集. C編, Aug. 2000, Invited

  
• Nonintegrability of Multi-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers

  YAGASAKI Kazuyuki

  The proceedings of the JSME annual meeting, Jul. 2000

  
• サドル・センタ-を有する2自由度ハミルトン系における馬蹄写像の存在 (力学系の特異現象とその数理)

  矢ヶ崎 一幸

  数理解析研究所講究録, Nov. 1999

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• A new approach for controlling chaotic dynamical systems (vol 238, pg 349, 1998)

  K Yagasaki; T Uozumi

  PHYSICS LETTERS A, Mar. 1999

  
• Fourth SIAM Conference on Applications of Dynamical Systems(Conference Reports)

  Yagasaki Kazuyuki

  Bulletin of the Japan Society for Industrial and Applied Mathematics, Dec. 1997, Invited

  
• Melnikov の方法とその拡張(関数方程式の構造と方法)

  矢ヶ崎 一幸

  数理解析研究所講究録, Mar. 1997, Invited

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• The Melnikov theory for subharmonics and chaos, and its extension to forced coupled oscillators

  YAGASAKI Kazuyuki

  Proceedings of the 2nd European Oscillations Conference (L. Pust and F. Peterka, eds.), Sep. 1996

  
• Some Recent Topics on Nonlinear Vibration and Chaos

  Kondou Takahiro; Yagasaki Kazuyuki

  Transactions of the Japan Society of Mechanical Engineers. C, Mar. 1995, Invited

  
• Homoclinic Orbits to Normally Hyperbolic Invariant Tori and Chaos in Multi-Frequency Perturbations of Planar Hamiltonian Systems

  Kazuyuki Yagasaki

  Towards the Harnessing of Chaos, 1994

  
• Vibrations and Chaos.

  YAGASAKI Kazuyuki

  Transactions of Visualization Society of Japan, Jul. 1993, Invited

  
• Random vibrations of a beam structure with elastoplastic hysteresis

  K. Kimura; K. Yagasaki; M. Sakata

  Proceedings of Ninth World Conference on Earthquake Engineering (Tokyo-Kyoto), Aug. 1988

  

Presentations

• Some Recent Results on Nonintegrability of Dynamical Systems

  Kazuyuki Yagasaki

  BOSTON UNIVERSITY/KEIO UNIVERSITY/TSINGHUA UNIVERSITY WORKSHOP 2024, 31 May 2024

  
• Some Recent Results on Nonintegrability of Dynamical Systems

  Kazuyuki Yagasaki

  天体力学Ｎ体力学研究会, 27 Mar. 2024

  
• Solvability of integrable partial differential equations under meromorphic initial conditions by quadrature

  Kazuyuki Yagasaki

  Winter Workshop on Dynamical systems, 07 Jan. 2024

  
• Nonintegrability of the Restricted Three-Body Problem

  Kazuyuki Yagasaki

  The 8th Workshop on Hamiltonian Systems and Related Topics, 29 Aug. 2023

  
• Singular Solitary Waves in the KdV Equation

  Kazuyuki Yagasaki

  10th International Congress on Industrial and Applied Mathematics, 22 Aug. 2023

  
• Melnikov’s Methods and Nonintegrability of Forced Nonlinear Oscillators

  Kazuyuki Yagasaki

  UTAM Symposium on Nonlinear dynamics for design of mechanical systems across different length/time scales, 04 Aug. 2023, Invited

  
• Nonintegrability of the Restricted Three-Body Problem

  Kazuyuki Yagasaki

  2023 NCTS Workshop on Dynamical Systems, 09 Jun. 2023, Invited

  
• 力学系理論の手法による感染症数理モデル SEIR 系の最適制御

  竹口佳輝; 矢ヶ崎一幸

  日本数学会2023年度年会, 18 Mar. 2023

  
• 力学系に関連した 3つの話題における最近の研究結果: KdV 方程式の特異ソリトン, Poincare‑Dulac標準形の非可積分性, 余次元2の分岐の周期的摂動

  矢ヶ崎一幸

  2022年度 冬の力学系研究集会, 07 Jan. 2023

  
• Some recent results on nonintegrability of dynamical systems

  矢ヶ崎一幸

  日本数学会2022年度秋季総合分科会, 15 Sep. 2022

  
• Nonintegrability of three and four‑dimensional dynamical systems near degenerate equilibria

  矢ヶ崎一幸

  日本数学会2022年度秋季総合分科会, 15 Sep. 2022

  
• Integrability of the two‑dimensional Zakharov‑Shabat systems by quadrature

  矢ヶ崎一幸

  日本数学会2022年度秋季総合分科会, 13 Sep. 2022

  
• Three Topics on Nonintegrability of Dynamical Systems

  Kazuyuki Yagasaki

  日本応用数理学会2022年度年会, 10 Sep. 2022

  
• Three Topics on Nonintegrability of Dynamical Systems

  矢ヶ崎一幸

  RIMS共同研究（公開型）「力学系の理論と諸分野への応用」, 09 Jul. 2022

  
• Some recent results on nonintegrability of dynamical systems

  矢ヶ崎一幸

  RIMS共同研究（公開型）「幾何構造と微分方程式 ー対称性・特異点及び量子化の視点からー」, 15 Mar. 2022, Invited

  
• 力学系の非可積分性に関する最近の研究結果について

  矢ヶ崎一幸

  2021年度 冬の力学系研究集会, 09 Jan. 2022

  
• Integrability of the Zakharov‑Shabat systems by quadrature: An application of differential Galois theory to integrable nonlinear PDEs

  矢ヶ崎一幸

  日本応用数理学会2021年度年会, 08 Sep. 2021

  
• 近可積分系に対する正則レベル集合近傍における非可積分性のための十分条件

  本永翔也; 矢ヶ崎一幸

  日本応用数理学会2021年度年会, 07 Sep. 2021

  
• 力学系の可積分性に関する 最近の研究結果について

  矢ヶ崎一幸

  日本応用数理学会2021年度年会, 07 Sep. 2021

  
• Integrability of the Zakharov‑Shabat systems by quadrature: An application of differential Galois theory to integrable nonlinear PDEs

  矢ヶ崎一幸

  RIMS Workshop: Recent Developments in Dynamical Systems and their Application, 24 Jul. 2021

  
• Optimal control of the SIR epidemic model

  Kazuyuki Yagasaki

  RIMS研究集会「数理科学の諸問題と力学系理論の新展開」, 16 Sep. 2020

  
• Chebyshev spectral methods for computing center manifolds

  Kazuyuki Yagasaki

  RIMS研究集会「数理科学の諸問題と力学系理論の新展開」, 16 Sep. 2020

  
• Existence of unbounded solutions in a normal form of the subcritical Hopf bifurcation with time-delayedfeedback for small initial functions

  Kazuyuki Yagasaki

  RIMS研究集会「数理科学の諸問題と力学系理論の新展開」, 15 Sep. 2020

  
• Continuum limits of coupled oscillator networks depending on multiple sparse graphs

  Kazuyuki Yagasaki

  RIMS研究集会「数理科学の諸問題と力学系理論の新展開」, 15 Sep. 2020

  
• 複数のスパースグラフに依存する結合振動子ネットワークの連続極限

  伊原亮輔; 矢ヶ崎一幸

  日本応用数理学会2020年度年会, 09 Sep. 2020

  
• 近可積分系における第一積分の存在のための必要条件

  本永翔也; 矢ヶ崎 一幸

  日本応用数理学会2020年度年会, 09 Sep. 2020

  
• 非線形Schrodinger方程式における孤立波解の線形安定性

  矢ヶ崎一幸; 山添祥太郎

  日本数学会2019年度秋季総合分科会, 19 Sep. 2019

  
• 摂動系における周期軌道, ホモクリニック軌道, 第一積分および可換なベクトル場の非保存 パート2 適用例

  本永翔也; 矢ヶ崎一幸

  日本応用数理学会2019年度年会, 03 Sep. 2019

  
• Bifurcations and stability for one-parameter families of symmetric periodic orbits in reversible systems

  Kazuyuki Yagasaki

  日本応用数理学会2019年度年会, 03 Sep. 2019

  
• Pitchfork bifurcations and linear stability of solitary waves in coupled nonlinear Schrdinger equa- tions

  Kazuyuki Yagasaki; Shotaro Yamazoe

  日本応用数理学会2019年度年会, 03 Sep. 2019

  
• Bifurcations of homoclinic orbits in reversible systems

  Kazuyuki Yagasaki

  Equadiff 2019, 09 Jul. 2019, Invited

  
• Bifurcations of homoclinic orbits in reversible systems

  矢ヶ崎 一幸

  日本数学会2019年度年会, 18 Mar. 2019

  
• 摂動系における周期軌道，ホモクリニック軌道，第一積分および可換なベクトル場の非保存

  本永 翔也; 矢ヶ崎 一幸

  日本数学会2019年度年会, 18 Mar. 2019

  
• Bifurcations of radially symmetric solutions in a coupled elliptic systemwith critical exponents

  YAGASAKI Kazuyuki; STACHOWIAK Tomasz

  日本数学会2019年度年会, 17 Mar. 2019

  
• Bifurcations of homoclinic orbits in reversible systems and an application to radially symmetric solutions in a coupled elliptic system

  YAGASAKI Kazuyuki

  冬の力学系研究集会, 12 Jan. 2019

  
• Nonintegrability and chaos in Hamiltonian systems with saddle-centers

  YAGASAKI Kazuyuki

  RIMS共同研究（公開型）幾何構造と微分方程式 ―対称性と特異点の視点から―, 18 Dec. 2018, Invited

  
• 摂動系における周期軌道，ホモクリニック軌道，第一積分および可換なベクトル場の非保存

  本永 翔也; 矢ヶ崎 一幸

  2018年度応用数学合同研究集会, 13 Dec. 2018

  
• 複数のグラフに依存する結合振動子系の連続極限

  矢ヶ崎 一幸; 伊原 亮輔

  2018年度応用数学合同研究集会, 13 Dec. 2018

  
• Nonintegrability of parametrically forced nonlinear oscillators

  MOTONAGA Shoya; YAGASAKI Kazuyuki

  日本数学会2018年度秋季総合分科会, 27 Sep. 2018

  
• Chaos in randamly perturbed dynamical systems

  YAGASAKI Kazuyuki

  日本数学会2018年度秋季総合分科会, 27 Sep. 2018

  
• 複数のグラフに依存する結合振 動子系の連続極限

  伊原 亮輔; 矢ヶ崎 一幸

  日本応用数理学会2018年度年会, 03 Sep. 2018

  
• 摂動系における周期軌道 , ホモクリニック軌道 , 第一積分および可換なベクトル場の非保存

  本永 翔也; 矢ヶ崎 一幸

  日本応用数理学会2018年度年会, 03 Sep. 2018

  
• 2自由度ハミルトン系における横断的なヘテロクリニック軌道の存在と非可積分性

  矢ヶ崎 一幸; 山中 祥五

  日本応用数理学会2018年度年会, 03 Sep. 2018

  
• Nonintegrability of the unfoldings of codomension‐two bifurcations

  ACOSTA‐HUMANEZ; Primitivo B; YAGASAKI Kazuyuki

  日本応用数理学会2018年度年会, 03 Sep. 2018

  
• Bifurcation of relative equilibria in infinite‐dimensional Hamiltonian systems

  YAGASAKI Kazuyuki; YAMAZOE Shotaro

  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 05 Jul. 2018

  
• Nonintegrability of the unfoldings of codomension-two bifurcations

  YAGASAKI Kazuyuki

  International Conference on Algebraic Methods in Dynamical Systems, 20 Jun. 2018, Invited

  
• Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers

  YAGASAKI Kazuyuki; Shogo Yamanaka

  International Conference on Algebraic Methods in Dynamical Systems, 18 Jun. 2018

  
• Nonintegrability of parametrically forced nonlinear oscillators

  MOTONAGA Shoya; YAGASAKI Kazuyuki

  International Conference on Algebraic Methods in Dynamical Systems, 18 Jun. 2018

  
• Nonintegrability of the normal forms of codomension-two bifurcations

  YAGASAKI Kazuyuki

  RIMS共同研究（公開型）, 04 Jun. 2018

  
• Fold-Hopf分岐に対する標準形の非可積分性

  矢ヶ崎一幸

  日本数学会2017年度秋季総合分科会, 11 Sep. 2017

  
• Bifurcations of radially symmetric solutions in a coupled ell iptic system with critical exponents

  Stachowiak Tomasz; YAGASAKI Kazuyuki

  日本応用数理学会2017年度年会, 07 Sep. 2017

  
• 非線形波動方程式のソリトン解に対する数値分岐解析

  山添祥太郎; 矢ヶ崎一幸

  日本応用数理学会2017年度年会, 07 Sep. 2017

  
• Nonintegrability of the normal form for the fold-Hopf bifurcation

  YAGASAKI Kazuyuki

  RIMS 共同研究 力学系 ー 理論と応用の連携探索, 09 Jun. 2017

  
• 無限次元Hamilton系における定常解の分岐と非線形Schrodinger方程式への応用

  矢ヶ崎一幸; 山添祥太郎

  日本数学会2017年度年会, 24 Mar. 2017

  
• 周期的な摂動を受ける保存系のヘテロクリニック挙動

  矢ヶ崎一幸

  日本数学会2016年度秋季総合分科会, 17 Sep. 2016

  
• 連立非線形Schrodinger方程式における孤立波解のピッチフォーク分岐と線形安定性

  矢ヶ崎一幸; 山添祥太郎

  日本数学会2016年度秋季総合分科会, 17 Sep. 2016

  
• ホモ/ヘテロクリニック軌道を有する一般的な微分方程式系の非可積分性

  山中祥五; 矢ヶ崎一幸

  日本数学会2016年度秋季総合分科会, 15 Sep. 2016

  
• Melnikov processes and chaos in randomly perturbed dynamical systems

  YAGASAKI Kazuyuki

  The 11th AIMS Conference on Dynamical Systems, 04 Jul. 2016, Invited

  
• ハミルトン系の非可積分性とカオス

  矢ヶ崎 一幸

  第30回計算数理工学フォーラム, 18 Mar. 2016

  
• 原子間力顕微鏡におけるマイクロカンチレバーの概外部フィードバック制御

  矢ヶ崎 一幸

  日本応用数理学会2015年度年会, 09 Sep. 2015

  
• Melnikov processes and chaos in randomly perturbed dynamical systems

  YAGASAKI Kazuyuki

  2015 NCTS Workshop on Dynamical Systems, May 2015

  
• 楕円型方程式の正値球対称解の存在

  矢ヶ崎 一幸

  力学系の応用研究集会, Mar. 2015

  
• 楕円型方程式の正値球対称解の存在と分岐

  矢ヶ崎 一幸

  日本数学会 2015年度年会, Mar. 2015, Invited

  
• Existence and uniqueness of positive radial solutions to a class of semilinear elliptic equations in R^d with d \ge 2

  YAGASAKI Kazuyuki

  2014年度冬の力学系研究集会, Jan. 2015

  
• Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems

  YAGASAKI Kazuyuki

  International Conference in Algebraic Methods in Dynamical Systems, Oct. 2014, Invited

  
• 不規則摂動系におけるカオス

  矢ヶ崎 一幸

  第10回日本応用数理学会研究部会連合発表会, Mar. 2014, Invited

  
• Melnikov processes and chaos in randomly perturbed dynamical systems

  YAGASAKI Kazuyuki

  RIMS Conference/The 6th CREST-SBM International Conference New Directions in Applied Dynamical Systems, Mar. 2014, Invited

  
• Melnikov processes and chaos in randomly perturbed dynamical systems

  矢ヶ崎 一幸

  2013年度冬の力学系研究集会, Jan. 2014

  
• Chaos in randomly perturbed dynamical systems

  矢ヶ崎 一幸

  RIMS研究集会 ランダム力学系理論とその応用, Jan. 2014

  
• Bifurcation diagram for interior single-peak solutions in a Neumann problem for u"+(u+u^p)=0 with p∈R and p>1

  YAGASAKI Kazuyuki

  RIMS Workshop Progress in Qualitative Theory of Ordinary Differential Equations, Nov. 2013, Invited

  
• u''+λ(-u+u^p)=0 (p>1は実数)のNeumann問題における内部単一ピーク解の分岐ダイアグラム

  矢ヶ崎 一幸

  日本数学会2013年度秋季総合分科会, Sep. 2013

  
• Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems

  YAGASAKI Kazuyuki

  KAM Theory and Related Topics in Hamiltonian Systems, Jun. 2013, Invited

  
• Application of the subharmonic Melnikov method to piecewise smooth system

  YAGASAKI Kazuyuki

  SIAM Conference on Applications of Dynamical Systems, May 2013

  
• 不規則な摂動を受ける力学系におけるMelnikov過程とカオス

  矢ヶ崎 一幸

  力学系の応用研究会, Mar. 2013

  
• 非対称コマにおける馬蹄力学の存在

  矢ヶ崎 一幸

  日本数学会2013年度年会, Mar. 2013

  
• 不規則な摂動を受ける力学系におけるMelnikov過程とカオス

  矢ヶ崎 一幸

  RIMS研究集会「偏微分方程式の背後にある確率過程と解の族 が示す統計力学的な現象の解析」, Feb. 2013, Invited

  
• u''-u+u^p=0(p>1は実数)における周期関数の単調性

  矢ヶ崎 一幸

  2012年度冬の力学系研究集会, Jan. 2013

  
• Computation and control of low energy Earth-to-Moon transfers with moderate flight time

  矢ヶ崎 一幸

  天体力学N体力学研究会2012, Oct. 2012, Invited

  
• あるクラスの反応拡散方程式に対する Neumann境界値問題の定常解の分岐

  矢ヶ崎 一幸

  RIMS研究集会「力学系とその周辺分野の研究」, Jul. 2012

  
• Families of solitons in Bragg supergrating

  矢ヶ崎 一幸

  北陸応用数理研究会2012, Feb. 2012, Invited

  
• Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems

  矢ヶ崎 一幸

  RIMS 研究集会：力学系とトポロジーのフロンティア, Nov. 2011

  
• ホモクリニック軌道の分岐に対する解析的および代数的条件

  矢ヶ崎 一幸

  広島微分方程式研究会, Oct. 2011, Invited

  
• Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems

  YAGASAKI Kazuyuki

  The 4th MSJ-SI, Nonlinear Dynamics in Partial Differential Equations, Sep. 2011

  
• Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem

  矢ヶ崎 一幸

  天体力学Ｎ体力学研究会2011, Sep. 2011

  
• Some applications of differential Galois theory in dynamical systems

  YAGASAKI Kazuyuki

  SIAM Conference on Applications of Dynamical Systems, May 2011

  
• 力学系における微分ガロア理論の新たな応用

  矢ヶ崎 一幸

  第10回盛岡応用数学小研究集会, Nov. 2010, Invited

  
• 非対称コマにおける馬蹄力学の存在

  矢ヶ崎 一幸

  RIMS研究集会「力学系-理論から応用へ、応用から理論へ-」, Sep. 2010

  
• ホモクリニック軌道の分岐に対する解析的および代数的条件

  矢ヶ崎 一幸; D. Blazquez-Sanz

  日本数学会2010 年度秋季総合分科会, Sep. 2010

  
• Bifurcations from one-parameter families of symmetric periodic orbits

  YAGASAKI Kazuyuki

  Joint SIAM/RSME-SCM-SEMA Meeting Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs’10, Jun. 2010

  
• コンピュータソフトウエアAUTOによる，周期軌道および安定/不安定多様体，ホモ/ヘテロクリニック軌道の数値計算

  矢ヶ崎 一幸

  天体力学Ｎ体力学研究会・ちばＮ体2010, Mar. 2010, Invited

  
• 分数調波軌道に対するメルニコフの方法とその区分線形系への応用

  矢ヶ崎 一幸

  電子情報通信学会非線形問題研究会, Jan. 2010, Invited

  
• Galoisian conditions for bifurcations of homoclinic orbits to saddle equilibria

  矢ヶ崎 一幸

  2009年度冬の力学系研究集会, Jan. 2010

  
• Subharmonic Melnikov method and its application to bi- and tri-linear oscillators

  YAGASAKI Kazuyuki

  Research Workshop on Bifurcations in Oscillators with Elastic and Impact Constraints, Nov. 2009, Invited

  
• Reversible 系における周期軌道族の分岐

  矢ヶ崎 一幸

  日本数学会2009年度秋季総合分科会, Sep. 2009

  
• 二等辺三体問題におけるオイラー解の分岐：理論的アプローチと数値的例証

  矢ヶ崎 一幸

  第３回「ハミルトン系とその周辺」小研究会, Aug. 2009

  
• Bifurcations from one-parameter families of periodic orbits in reversible systems

  矢ヶ崎 一幸

  RIMS研究集会「力学系－双曲型力学系から大自由度力学系へ－」, Aug. 2009

  
• Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem

  YAGASAKI Kazuyuki

  SIAM Conference on Applications of Dynamical Systems, May 2009

  
• New applications of differential Galois theory in dynamical systems

  矢ヶ崎 一幸

  機械工学における力学系理論の応用に関する研究会, Mar. 2009

  
• 一研究者からみた非線形力学の今とこれから

  矢ヶ崎 一幸

  日本機械学会 Dynamics and Design Conference 2006, Aug. 2006, Invited

  

Books and Other Publications

• 集合と位相

  矢ヶ崎一幸, Single work

  学術図書出版社, Mar. 2020

  Find Kyoto University's collection of books :

  
• 微分方程式の基礎と解法

  矢ヶ崎一幸, Single work

  学術図書出版社, Sep. 2014

  Find Kyoto University's collection of books :

  
• 非線形系のダイナミクス : 非線形現象の解析入門

  日本機械学会, Contributor

  コロナ社, Aug. 2007

  Find Kyoto University's collection of books :

  
• Nonlinear dynamics : new theoretical and applied results

  Awrejcewicz, J. (Jan), Contributor, Part I, Chapter 7

  Akademie Verlag, 1995

  Find Kyoto University's collection of books :

  
• 例題で学ぶ振動工学

  鈴木 浩平, Contributor, 第6章

  丸善, Mar. 1994

  Find Kyoto University's collection of books :

  
• ポイントを学ぶ振動工学

  鈴木 浩平, Contributor, 第7章

  丸善, Mar. 1993

  Find Kyoto University's collection of books :

  

External funds: Kakenhi

• New Developments of Dynamical Systems Theory for Diverse Mathematical Models

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Kazuyuki Yagasaki

  From 01 Apr. 2017, To 31 Mar. 2022, Project Closed

  力学系;可積分性;分岐;偏微分方程式;ソリトン;ハミルトン系;結合振動子系;時間遅れ系;逆散乱法;最適制御;保存系;反転対称系;偏微分方程式系;第一積分;可換ベクトル場;ネットワーク;中心多様体;反転可能系;ホモクリニック軌道;パルス解;標準形;非可積分性;確率的な摂動を受ける系;ソリトン解;力学系理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02859/
• Investigation of Diverse Bifurcation Structures in Differential Dynamical Systems

  Grant-in-Aid for Scientific Research (C)

  Kyoto University;Hiroshima University

  Kazuyuki Yagasaki

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  力学系;偏微分方程式系;不規則摂動系;周期摂動系;区分的に滑らかな系;分岐;カオス;非可積分性;微分方程式;反転可能系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400168/
• Perturbation problems for degenerate integrable systems and mathematics for resonance phenomena

  Grant-in-Aid for Scientific Research (C)

  Kanazawa University

  HIdekazu Ito

  From 01 Apr. 2013, To 31 Mar. 2017, Project Closed

  可積分系;共鳴;超可積分系;シンプレクティック写像;標準形理論;標準形;ハミルトン系;可積分ベクトル場;超可積分性;バーコフ標準形

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400108/
• Normal forms for superintegrable systems at singular points and their perturbation problems

  Grant-in-Aid for Scientific Research (C)

  Kanazawa University

  Hidekazu ITO

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  超可積分系;ハミルトン系;バーコフ標準形;共鳴条件;標準形理論;ベクトル場;標準形;特異点;作用-角変数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540180/
• Bifurcations and Homo- and Heteroclinic Behavior in Infinite- Dimensional Dynamical Systems

  Grant-in-Aid for Scientific Research (C)

  Hiroshima University;Niigata University

  Kazuyuki YAGASAKI

  From 01 Apr. 2009, To 31 Mar. 2013, Project Closed

  力学系;無限次元系;分岐;ホモ/ヘテロクリニック挙動;摂動法;微分ガロア理論;数値解析;パルス解;周期軌道;ホモ;ヘテロクリニック挙動

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540124/
• 可積分保存系における剛性の研究

  Grant-in-Aid for Exploratory Research

  Kanazawa University

  伊藤 秀一

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  保存力学系;シンプレクティック写像;ハミルトン系;可積分系;バーコフ標準形;剛性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18654033/
• Creation of new technologies by dynamical systems theory in space engineering, robotics and nanotechnology

  Grant-in-Aid for Scientific Research (C)

  Gifu University

  Kazuyuki YAGASAKI

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  数理工学;力学系理論;宇宙ロケット;ロボット;原子間力顕微鏡

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18560056/
• A Fundamental Study on Dynamics and Control of Complex Systems

  Grant-in-Aid for Scientific Research (C)

  Gifu University

  Kazuyuki YAGASAKI

  From 01 Apr. 1998, To 31 Mar. 2001, Project Closed

  複雑系;カオス;連成振動系;分岐現象;カオス制御;力学系理論;ハミルトン系;分岐, Complex System;Chaos;Coupled Oscillator;Bifurcation;Chaos Control;Dynamical Systems Theory;Hawiltonian System

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650236/
• ロボットアームのカオス制御に関する研究

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Gifu University

  矢ケ崎 一幸

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  カオス制御;ロボットアーム;フィードフォワード制御;フィードバック制御;OGY法;SOGY法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08750268/
• Development of innovative theories on integrability of dynamical systems and their applications

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  矢ヶ崎 一幸

  From 01 Apr. 2022, To 31 Mar. 2026, Granted

  力学系;可積分性;微分ガロア理論;逆散乱法;ホモクリニック軌道

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22H01138/
• Development of innovative theories on integrability of dynamical systems and their applications

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  矢ヶ崎 一幸

  From 01 Apr. 2022, To 31 Mar. 2026, Granted

  力学系;可積分性;微分ガロア理論;逆散乱法;ホモクリニック軌道

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K22409/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Dynamical Systems

  9080, Spring, Faculty of Engineering, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Appleid Mathematics A3

  2070, Spring, Faculty of Engineering, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar in Dynamical Systems

  3456, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Dynamical Systems, Advanced

  3431, Spring, Graduate School of Informatics, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Mathematical Description of Natural Phenomena

  N112, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Graduation Thesis 1

  9991, Spring, Faculty of Engineering, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Graduation Thesis 1

  9991, Fall, Faculty of Engineering, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Dynamical Systems

  9080, Spring, Faculty of Engineering, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Appleid Mathematics A3

  2070, Spring, Faculty of Engineering, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar in Dynamical Systems

  3456, Year-long, Graduate School of Informatics, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Dynamical Systems, Advanced

  3431, Spring, Graduate School of Informatics, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Mathematical Description of Natural Phenomena

  N112, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Graduation Thesis 2

  9992, Fall, Faculty of Engineering, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Graduation Thesis 2

  9992, Spring, Faculty of Engineering, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Appleid Mathematics A3

  2070, Spring, Faculty of Engineering, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Dynamical Systems, Advanced

  3431, Spring, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Mathematical Description of Natural Phenomena

  N112, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Dynamical Systems

  9080, Spring, Faculty of Engineering, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar in Dynamical Systems

  3456, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From Apr. 2014, To Mar. 2015

  Introduction to Dynamical Systems

  Fall, 工学部
• From Apr. 2014, To Mar. 2015

  Mathematical Physics, Advanced

  Fall, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics and Physics, Advanced

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Mathematical Physics, Advanced

  Spring, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Mathematics of Dynamical Systems

  Spring, 工学部
• From Apr. 2015, To Mar. 2016

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2015, To Mar. 2016

  Introduction to Dynamical Systems

  Fall, 工学部
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics and Physics, Advanced

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Mathematical Physics, Advanced

  Spring, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Mathematical Physics, Advanced

  Fall, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Dynamical Systems

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics and Physics, Advanced

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Mathematical Physics, Advanced

  Spring, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Graduation Thesis 1

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Graduation Thesis 1

  Fall, 工学部
• From Apr. 2016, To Mar. 2017

  Graduation Thesis 2

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Graduation Thesis 2

  Fall, 工学部
• From Apr. 2016, To Mar. 2017

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Dynamical Systems

  Spring, 工学部
• From Apr. 2017, To Mar. 2018

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics and Physics, Advanced

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Mathematical Physics, Advanced

  Spring, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Dynamical Systems

  Spring, 工学部
• From Apr. 2018, To Mar. 2019

  Dynamical Systems, Advanced

  Spring, 工学研究科
• From Apr. 2018, To Mar. 2019

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2018, To Mar. 2019

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Dynamical Systems

  Spring, 工学部
• From Apr. 2019, To Mar. 2020

  Seminar in Dynamical Systems

  Year-long, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2019, To Mar. 2020

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Dynamical Systems

  Spring, 工学部
• From Apr. 2020, To Mar. 2021

  Seminar in Dynamical Systems

  Fall, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2020, To Mar. 2021

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Dynamical Systems

  Spring, 工学部
• From Apr. 2021, To Mar. 2022

  Seminar in Dynamical Systems

  Fall, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Dynamical Systems, Advanced

  Spring, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2021, To Mar. 2022

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Mathematical Description of Natural Phenomena

  Spring, 全学共通科目

Participation in PhD Defense

• Minimizing methods and related topics for twist maps and the n-body problem

  KAJIHARA YUIKA, Graduate School of Informatics, Sub-chief Examiner

  23 Jan. 2023
• Studies on Discrete Integrable Systems with Positivity and Their Applications

  KOBAYASHI KATSUKI, Graduate School of Informatics, Sub-chief Examiner

  23 Mar. 2022
• Nonintegrability and Related Dynamics of Ordinary Differential Equations

  MOTONAGA SHOYA, Graduate School of Informatics, Chief Examiner

  24 Nov. 2021
• Studies on generalizations of the classical orthogonal polynomials where gaps are allowed in their degree sequences（次数列に欠落が存在するような古典直交多項式の一般化に関する研究）

  羅　宇, Sub-chief Examiner

  23 Mar. 2020
• Nonintegrability of Dynamical Systems near Equilibria and Heteroclinic Orbits（平衡点およびヘテロクリニック軌道の近傍における力学系の非可積分性）

  山中　祥五, Chief Examiner

  23 Mar. 2020
• Bifurcations and Spectral Stability of Solitary Waves in Nonlinear Wave Equations（非線形波動方程式における孤立波解の分岐とスペクトル安定性）

  山添　祥太郎, Chief Examiner

  24 Nov. 2020
• Orthogonal transformation based algorithms for singular value decomposition（直交変換に基づく特異値分解アルゴリズム）

  荒木　翔, Sub-chief Examiner

  23 Mar. 2021

Student achievements: Papers

• Continuum limits of coupled oscillator networks depending on multiple sparse graphs

  Ryosuke Ihara; Kazuyuki Yagasaki

  Aug. 2023, Journal of Nonlinear Science,, 33, 62-1, 62-44, Peer-reviewed, English

  https://doi.org/10.1007/s00332-023-09921-1 Continuum
• Obstructions to integrability of nearly integrable dynamical systems near regular level sets

  Shoya Motonaga; Kazuyuki Yagasaki

  24 Apr. 2023, Archive for Rational Mechanics and Analysis, 247, 44-1, 44-28, Peer-reviewed, English

  https://doi.org/10.1007/s00205-023-01880-x
• Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

  Kazuyuki Yagasaki; Shotaro Yamazoe

  11 Oct. 2021, Japan Journal of Industrial and Applied Mathematics, 39, 257, 281, Peer-reviewed, English

  https://doi.org/10.1007/s13160-021-00485-9
• Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems

  Shoya Motonaga∗ and Kazuyuki Yagasaki Department

  2021, Nonlinearity, 34, 7574, 7608, Peer-reviewed, English

  https://doi.org/10.1088/1361-6544/ac24e4
• Chebyshev spectral methods for computing center manifolds

  Takeshi Saito; Kazuyuki Yagasaki

  Apr. 2021, Journal of Computational Dynamics,, 8, 2, 165, 181, Peer-reviewed, English

  https://doi.org/10.3934/jcd.2021008 This issue Previous Article Next Article
• Numerical analyses for spectral stability of solitary waves near bifurcation points

  Kazuyuki Yagasaki; Shotaro Yamazoe

  10 Jul. 2020, Japan Journal of Industrial and Applied Mathematics, 38, 125, 140, Peer-reviewed

  https://doi.org/10.1007/s13160-020-00428-w
• Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers

  Kazuyuki Yagasaki; Shogo Yamanaka

  02 Jul. 2019, Symmetry, Integrability and Geometry: Methods and Applications, 15, 049-1, 049-17, Peer-reviewed, English

  https://doi.org/10.3842/SIGMA.2019.049
• Local integrability of Poincare-Dulac normalfForms

  Shogo Yamanaka

  24 Nov. 2018, Regular and Chaotic Dynamics,, 23, 933, 947, Peer-reviewed, English

  https://doi.org/10.1134/S1560354718070080/metrics
• Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems

  YAGASAKI Kazuyuki; YAMAZOE Shotaro

  Jan. 2019, SIAM Journal on Applied Dynamical Systems, 18, 393, 417, Peer-reviewed

  https://doi.org/10.1137/18M1187738
• Nonintegrability of parametrically forced nonlinear oscillators

  Shoya Motonaga; Kazuyuki Yagasaki

  01 May 2018, Regular and Chaotic Dynamics, 23, 291, 303, Peer-reviewed

  https://doi.org/10.1134/S156035471803005X
• Nonintegrability of dynamical systems with homo- and heteroclinic orbits

  Kazuyuki Yagasaki; Shogo Yamanaka

  Jul. 2017, JOURNAL OF DIFFERENTIAL EQUATIONS, 263, 1009-1027., 1009, 1027, Peer-reviewed, English, Scientific journal

  https://doi.org/10.1016/j.jde.2017.03.006

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