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Yagasaki, Kazuyuki

Graduate School of Informatics, Department of Applied Mathematics and Physics Professor

Yagasaki, Kazuyuki
list
    Last Updated :2022/05/14

    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

    Website(s) (URL(s))

    researchmap URL

    list
      Last Updated :2022/05/14

      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

      • Numerical analyses for spectral stability of solitary waves near bifurcation points
        Kazuyuki Yagasaki; Shotaro Yamazoe
        Japan Journal of Industrial and Applied Mathematics, 10 Jul. 2020, 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
        Primitivo B Acosta-Humánez; Kazuyuki Yagasaki
        Nonlinearity, 01 Apr. 2020, Peer-reviewed
      • Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers
        Kazuyuki Yagasaki; Shogo Yamanaka
        Symmetry, Integrability and Geometry: Methods and Applications, 02 Jul. 2019, Peer-reviewed
      • Bifurcation of Relative Equilibria in Infinite-Dimensional Hamiltonian Systems
        YAGASAKI Kazuyuki; YAMAZOE Shotaro
        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
        YAGASAKI Kazuyuki
        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
        Kazuynki 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
      • 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, 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.

      • 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
        数理解析研究所講究録, 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
      • 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
        年次大会講演論文集 : 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
      • 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
        年次大会講演論文集 : 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
      • 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
        応用数理, Dec. 1997, Invited
      • Melnikov の方法とその拡張(関数方程式の構造と方法)
        矢ケ崎 一幸
        数理解析研究所講究録, Mar. 1997, Invited
      • 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
      • 振動とカオス
        矢ヶ崎 一幸
        可視化情報, 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

      • 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

      External funds: Kakenhi

      • New Developments of Dynamical Systems Theory for Diverse Mathematical Models
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        矢ヶ崎 一幸
        From 01 Apr. 2017, To 31 Mar. 2022, Granted
        力学系;保存系;反転対称系;偏微分方程式系;分岐;第一積分;可換ベクトル場;ネットワーク;結合振動子系;中心多様体;時間遅れ系;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;偏微分方程式;ハミルトン系;ソリトン解;力学系理論
      • 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. 2016, 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
      • 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. 2016, 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
      • 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
      • 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
      • 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
        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
      • 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
        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
      • A Fundamental Study on Dynamics and Control of Complex Systems
        Grant-in-Aid for Scientific Research (C)
        Gifu University
        Kazuyuki YAGASAKI
        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
      • 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
        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
      • 力学系の可積分性に関する革新的理論の確立とその応用
        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, Adopted
      list
        Last Updated :2022/05/14

        Education

        Teaching subject(s)

        • 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
        list
          Last Updated :2022/05/14

          Administration

          School management (title, position)

          • From 01 Apr. 2018, To 31 Mar. 2019
            国際高等教育院 企画評価専門委員会 数学部会 委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            アンケート検討部会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            国際高等教育院 企画評価専門委員会 数学部会 委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            国際高等教育院 企画評価専門委員会 数学部会 委員
          • From 01 Apr. 2020, To 31 Mar. 2022
            教職教育委員会 委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            教職教育委員会教職科目連絡小委員会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            国際高等教育院 企画評価専門委員会 数学部会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            教職教育委員会教職科目連絡小委員会 委員

          Faculty management (title, position)

          • From 01 Apr. 2014, To 31 Mar. 2015
            財務委員会委員
          • From 01 Apr. 2015, To 31 Mar. 2016
            制規委員会委員
          • From 01 Apr. 2015, To 31 Mar. 2016
            情報セキュリティ委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            教務委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            教務委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            企画委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            専攻長
          • From 01 Apr. 2020, To 31 Mar. 2021
            制規委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2022
            教務委員会委員
          • From 01 Apr. 2020, To 31 Mar. 2021
            情報セキュリティ委員会委員

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