HAYASHI Makoto
| Department of Liberal Arts and Science | Professor |
Researcher Information
Research Keyword
Research activity information
Award
Paper
- ★An improvement of Massera's theorem for the Lienard equation
Makoto Hayashi
Applied Mathematical Sciences, May 2024, Refereed
Lead - ★A survey for a generalized Lienard equation without the Massera’s condition
Makoto Hayashi
International Journal of Applied Mathematics, Sep. 2022, Refereed
Lead - ★An improved criterion for the unique existence of the limit cycle of a Lienard-type system with one parameter
Makoto Hayashi
Qualitative Theory of Dynamical Systems, Mar. 2021, Refereed, Not invited
Lead - ★An improvement of the non- existence region for limit cycles of the Bogdanov-Takens system
Makoto Hayashi
Archivum Mathematicum, 2020, Refereed, Not invited
Lead - ★A Criterion for the Unique Existence of the Limit Cycle of a Lienard-type system with one parameter
Makoto Hayashi
Advances in Dynamical Systems and Applications, 2019, Refereed, Not invited
Lead - ★On the uniqueness of limit cycle for certain Lienard systems without symmetry
Makoto Hayashi; Gabriele Villari and Fabio Zanolin
Electronic Journal of Qualitative Theory of Differential Equations, 2018, Refereed, Not invited
Lead - ★On the improved Massera's theorem for the unique existence of the limit cycle for a Lienard equation
Makoto Hayashi
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 2016, Refereed, Not invited
Lead - ★Unique existence and Non-existence of limit cycles for a classical Lienard system
Makoto Hayashi
Advances in Dynamical Systems and Applications, 2016, Refereed, Not invited
Lead - ★Non-existence of limit cycles for planar systems of Lienard-type
Makoto Hayashi
Advances in Dynamical Systems and Applications, May 2015, Refereed, Not invited
Lead - ★An improvement for the unique existence of a limit cycle of the Duff and Levinson-type system
Makoto Hayashi
Applied Mathematical Sciences, 2014, Refereed, Not invited
Lead - ★Homoclinic orbits for the planar system of Lienard-type
Makoto Hayashi
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, Oct. 2013, Refereed, Not invited
Lead - ★A note on the non-existence of limit cycles of the FitzHugh-Nagumo system
Makoto Hayashi
European Journal of Mathematical Sciences, 2013, Refereed, Not invited
Lead - ★On Canard Homoclinic of a Lienard Perturbation System
Makoto Hayashi
Applied Mathematics, Oct. 2011, Refereed, Not invited
Lead - ★A geometric condition for the existence of the homoclinic orbits of Lienard systems
Makoto Hayashi
International Journal of Pure and Applied Mathematics, Feb. 2011, Refereed, Not invited
Lead - ★A note on Lienard systems with invariant algebraic curves
Makoto Hayashi
Advances in Differential Equations and Control Processes, Dec. 2010, Refereed, Not invited
Lead - ★A remark on the homoclinic orbits of Lienard systems with invariant curves
Makoto Hayashi and Masao Igarashi
Advances in Differential Equations and Control Processes, Sep. 2009, Refereed, Not invited
Lead - ★On the Lienard system with two isoclines
Makoto Hayashi
Mathematica Slovaca, Sep. 2009, Refereed, Not invited
Lead - ★Uniqueness of limit cycles in the Duff and Levinson-type systems
Makoto Hayashi
Far East Journal of Mathematics and Science, 2007, Refereed, Not invited
Lead - ★Some isoclines in Lienard equation
Makoto Hayashi
Internatinal Congress of Mathematics 2006, Aug. 2006, Refereed, Not invited
Lead - ★On a closed orbit of some constrained system
Makoto Hayashi
Nonlinear Differential Equations and Applications, 2005, Refereed, Not invited
Lead - ★A global condition for the non-existence of limit cycles of Bogdanov-Takens system
Makoto Hayashi
Far East Journal of Mathematics and Science, May 2004, Refereed, Not invited
Lead - ★Global analysis for a limit cycle of FitzHugh-Nagumo System
Makoto Hayashi
Buletin Stiintific-Universitatea din Pitesti, Seria Matematica si Informatica, 2004, Refereed, Not invited
Lead - ★On local center of generalized Lienard-type systems
Makoto Hayashi
Far East Journal of mathematical Sciences, 2003, Refereed, Not invited
Lead - ★On the local center of an analytic Lienard system
Makoto Hayashi
Aequationes Mathematicae, 2002, Refereed, Not invited
Lead - ★On the non-existence of the closed orbit for a Lienard system
Makoto Hayashi
Southeast Asian Bulletin of Mathematics, 2000, Refereed, Not invited
Lead - ★On FitzHugh-Nagumo system with a non-hyperbolic equilibrium point
Makoto Hayashi
International Journal of Applied Mathematics, 2000, Refereed, Not invited
Lead - ★A uniqueness theorem on the Lienard system with a Non-hyperbolic equilibrium point.
Makoto Hayashi and Mayumi Tsukada
Dynamic Systems and Applications, 2000, Refereed, Not invited
Lead - ★A note on the uniqueness of the closed orbit of FitzHugh-Nagumo system
Makoto Hayashi
Quarterly Applied Mathematics, 2000, Refereed, Not invited
Lead - ★Non-existence of homoclinic orbits and global asymptotic stability of FitzHugh-Nagumo system
Makoto Hayashi
Vietnam Journal of Mathematics, 1999, Refereed, Not invited
Lead - ★On the Lienard system with a non-hyperbolic equilibrium point
Makoto Hayashi
Dynamics,Continuous,Discrete and Impulsive Systems, 1999, Refereed, Not invited
Lead - ★On some polynomial system of Uno-Yokomi
Makoto Hayashi
Bull. Dept. Gen. Ed. Coll. Sci. Tech. , Nihon University, 1998, Refereed, Not invited
Lead - ★On the uniqueness of the closed orbit of the Lienard system
Makoto Hayashi
Mathematica Japonica, 1998, Refereed, Not invited
Lead - ★On the non-existence of the clored orbit of a polynomial Lienard system
Makoto Hayashi
Report of the R. I. S. T. , Nihon University, 1997, Refereed, Not invited
Lead - ★On the uniqueness of the closed orbit of FitzHugh-Nagumo system
Makoto Hayashi
Mathematica Japonica, 1997, Refereed, Not invited
Lead - ★On the Lienard system with three equilibrium points
Makoto Hayashi
Nonlinear Studies, 1997, Refereed, Not invited
Lead - ★On polynomial Lienard systems which have algebraic invariant curves
Makoto Hayashi
Funkcialaj Ekvacioj, 1996, Refereed, Not invited
Lead - ★On polynomial Lienard systems which have no algebraic solution orbits
Makoto Hayashi
Report of the R. I. S. T., Nihon Univ., 1995, Refereed, Not invited
Lead - Effective tools for analyzing the periodic motion of the generalized Lienard system
Makoto Hayashi
Research Institute of Economic Science in College of Ecomomics, Nihon University, 2025, Not refereed, Not invited
Lead - A simple criterion for the non-existence of limit cycles of a Lienard system
Makoto Hayashi
International Journal of Mathematical Research, 2016, Refereed, Invited
Lead - 円周率の無理数性の証明とその教育Ｉ
Ipushiron, 2007, Refereed, Not invited - 円周率の無理数性とその教育Ⅱ
日本大学理工学部一般教育教室彙報, 2007, Refereed, Not invited - 数学と情報の高校から大学への接続と工夫
五十嵐 正夫; 林 誠
教育制度研究所, 2007, Refereed, Not invited - あるIsoclineをもつLienard系における周期軌道の非存在定理
林 誠
京都大学数理解析研究所, 2006, Not refereed, Not invited
Lead - On the local center of Lienard-type systems
Makoto Hayashi
Publ. RIMS Kyoto University, 2002, Not refereed, Not invited
Lead - The unique existence of a closed orbit of FitzHugh-Nagumo system
Makoto Hayashi
Publ.RIMS Kyoto University, 1999, Not refereed, Not invited
Lead - Global asymptotic stability of FitzHugh-Nagumo system
Makoto Hayashi
Proceedings of the Ninth International Colloquium on Differential Equations, 1999, Refereed, Invited
Lead - On the uniqueness of the closed orbit of the Bogdanov-Takens system
Makoto Hayashi
Proceedings of the Seventh International Colloquium on Differential Equations, 1997, Refereed, Invited
Lead
Books and other publications
Lectures, oral presentations, etc.
- Chairman in Section 3(ISCASE-06)
7th International Scientific Conference on Applied Sciences and Engineering, Feb. 2016, Scientific Publishing Group, Invited - A simple criterion for the non-existence of limit cycles of a Lienard system
Makoto Hayashi
7th International Scientific conference on Applied Sciences and Engineering, Feb. 2016, Scientific Group, Invited - On homoclinic orbits of Lienard systems with invariant curves
第５３回理工学部学術講演会, Nov. 2009, 日本大学理工学部, Not invited - A remark on homoclinic orbits of the Lienard system
林 誠
日本数学会秋季分科会（大阪大学）, Sep. 2009, 日本数学会, Not invited - 大学・大学院の女子学生に対する数学教育の現状と課題
数学教育学会秋季例会, Sep. 2007, Not invited - On limit cycles of Duff and Levinson-type systems
林 誠
日本数学会秋季分科会, Sep. 2007, Not invited - On a new system for Lienard equation
林 誠
第５０回日本大学理工学部学術講演会, Nov. 2006, Not invited - Some Isoclines in Lienard equation
Makoto Hayashi
International Congress of Mathematicians 2006, Aug. 2006, Not invited - あるisoclineをもつLienard系における周期軌道の非存在定理
林 誠
数理解析研究所「関数微分方程式の解のダイナミクスと数値シミュレーション」, Nov. 2005, Not invited - ２つのIsoclineをもつLienard系について
林 誠
日本数学会秋季分科会, Sep. 2005, Not invited - U字型Lienard系におけるLimit Cycleの非存在定理
林 誠
第47回日本大学理工学部学術講演会, 2003, Not invited - Non-existence of the closed orbits of a Lienard system with two parameters
林 誠
日本数学会秋季分科会, Sep. 2002, Not invited - Global analysis for a limit cycle of FitzHugh-Nagumo system
Makoto Hayashi
The 10th Conference on Applied and Industrial Mathematics, Romania(One Hour Invited Lecture), 2002, Not invited - On the local center of Lienard-type systems
林 誠
数理解析研究所「関数方程式の解のダイナミクスとその周辺, Nov. 2001, Not invited - A study on the FitzHugh-Nagumo system
林 誠
数理解析研究所「関数微分方程式の解の構造とその現象解析」, Nov. 2001, Not invited - On the local center of some polynomial system
林 誠
第45回日本大学理工学部学術講演会, 2001, Not invited - A note on the local center of an analytic Lienard system
林 誠
日本数学会秋季分科会, 2001, Not invited - A proof for the unicity of the closed orbit in a Lienard system
林 誠
数理解析研究所「数理モデルと関数方程式」, Nov. 1999, Not invited - A note on FitzHugh-Nagumo system with a non-hyperbolic equilibrium point
林 誠
日本数学会秋季分科会, Sep. 1999, Not invited - On the limit cycle of some constrained system
林 誠
第43回日本大学理工学部学術講演会, 1999, Not invited - On the closed orbit of FitzHugh-Nagumo system
林 誠
数理解析研究所「関数方程式の方法とその応用」, Nov. 1998, Not invited - On the unique existence of the closed orbit of FitzHugh-Nagumo system
林 誠
日本数学会春季分科会, Mar. 1998, Not invited - On the homoclinic orbit of FitzHugh-Nagumo system
林 誠
第42回日本大学理工学部学術講演会, 1998, Not invited - A uniquencess theorem on the Lienard system with a non-hyperbolic equilibrium point
林 誠
日本数学会秋季分科会, 1998, Not invited - On the unique existence of the closed orbit of a Lienard system
林 誠
微分方程式の総合的研究（1時間招待講演）, Dec. 1997, Not invited - On the non-existence of the closed orbit for a Lienard system
林 誠
日本数学会春季分科会, Mar. 1997, Not invited - On some polynomial system of Uno-Yokomi
第41回日本大学理工学部学術講演会, 1997, Not invited - On the uniqueness of the closed orbit of the Bogdanov-Takens system
Makoto Hayashi
7-th Int. Coll. on Differential Equations, Plovdiv(One hour invited lecture), Aug. 1996, Not invited - On the uniqueness of the closed orbit of the Bogdanov-Takens system
Makoto Hayashi
7th International Colloquium on Differential Equations, Aug. 1996, Not invited - On the uniqueness of the closed orbit of the Lienard system with a non-hyperbolic equilibrium point
林 誠
日本数学会春季分科会, Apr. 1996, Not invited - On the non-existence of the closed orbit of a polynomial Lienard system
林 誠
第40回日本大学理工学部学術講演会, 1996, Not invited - On the Lienard system with three equilibrium points
林 誠
日本数学会秋季分科会, Sep. 1995, Not invited - On polynomial Lienard systems which have invariant algebraic curves
林 誠
日本数学会春季分科会, Mar. 1995, Not invited - On the uniqueness of the closed orbit of FitzHugh-Nagumo system
第39回日本大学理工学部学術講演会, 1995, Not invited - On the uniqueness of the periodic orbits of Lienard systems including a parameter
第38回日本大学理工学部学術講演会, Nov. 1994, Not invited - Lienard systems and non-algebraic orbits
林 誠
数理解析研究所「常微分方程式と関数微分方程式の定性的理論」, Nov. 1994, Not invited - Lienard系と非代数的軌道
林 誠
第37回日本大学理工学部学術講演会, Nov. 1993, Not invited - 拡張されたvan der Pol方程式と代数的解曲線
林 誠
第36回日本大学理工学部学術講演会, Nov. 1992, Not invited - 非双曲型の平衡点をもつLienard方程式のlimit cycleの個数について
林 誠
第35回日本大学理工学部学術講演会, Nov. 1991, Not invited - 一般化されたFitzHugh Nerve Systemの周期解について
林 誠
第34回日本大学理工学部学術講演会, Nov. 1990, Not invited - 神経モデルである非線型常微分方程式の周期解について
林 誠
第33回日本大学理工学部学術講演会, Nov. 1989, Not invited - ベクトル場に沿う動座標系について
林 誠
第32回日本大学理工学部学術講演会, Nov. 1988, Not invited
Courses
Affiliated academic society
Research Themes
- An integrated research on network industries
Apr. 2022 - Mar. 2024 - リエナール型微分方程式系の渦心点問題と第一積分の研究
日本学術振興会, 科学研究費助成事業, 2002 - 2004
林 誠 - 余次元２のカスプをもつ微分方程式系の解の大域的挙動の研究
日本大学, 日本大学学術研究助成金・一般研究（個人）, 2002 - 2002 - A study on the limit cycle of a Lienard system with a non-hyperbolic equilibrium point
日本大学, 日本大学学術研究助成金・一般研究（個人）, 1998 - 1998 - A study on the Lienard system which has an algebraic invariant curve
日本大学, 日本大学学術研究助成金・奨励研究（個人）, 1997 - 1997
