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 global region for the non- existence of limit cycles of 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 - 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
2002 - 2004 - 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 - 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
2002 - 2004 - 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
