Existence and non-existence of limit cycles for Lienard prescribed curvature equations

Mawhin Jean; Villari Gabriele; Zanolin Fabio

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Existence and non-existence of limit cycles for Lienard prescribed curvature equations

机译：Lienard规定曲率方程的限制循环的存在和不存在

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摘要

We study the curvature Lienard equation

机译：我们研究曲率Lienard方程

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来源
《Nonlinear Analysis: An International Multidisciplinary Journal》 |2019年第2019期|共12页
作者
Mawhin Jean; Villari Gabriele; Zanolin Fabio;
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作者单位

Catholic Univ Louvain Inst Rech Math &

Phys Chemin Cyclotron 2 B-1348 Louvain La Neuve Belgium;

Univ Firenze Dipartimento Matemat &

Informat Ulisse Dini Viale Morgagni 67-A I-50137 Florence Italy;

Univ Udine Dipartimento Sci Matemat Informat &

Fis Via Sci 206 I-33100 Udine Italy;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Periodic orbits; Limit cycles; Van der Pol curvature equation; Lienard curvature equation;

机译：周期性轨道;限制循环;范德波曲率方程;Lienard曲率方程;
入库时间 2022-08-20 04:40:15

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专利

1. Existence and non-existence of limit cycles for Lienard prescribed curvature equations [J] . Mawhin Jean, Villari Gabriele, Zanolin Fabio Nonlinear Analysis: An International Multidisciplinary Journal . 2019,第期

机译：Lienard规定曲率方程的限制循环的存在和不存在
2. Existence of limit cycles for some generalisation of the Liénard equations: the relativistic and the prescribed curvature cases. [J] . Carletti Timoteo, Villari Gabriele Electronic Journal of Qualitative Theory of Differential Equations . 2020,第63期

机译：Liénard方程一般化的限制循环存在：相对论和规定的曲率案例。
3. Existence and nonexistence of limit cycles for Lienard-type equations with bounded nonlinearities and phi-Laplacian [J] . Fujimoto Kodai, Yamaoka Naoto Communications in contemporary mathematics . 2017,第6期

机译：Lienard型方程的存在和不存在与有界非线性和Phi-Laplacian的Lienard型方程
4. Maximum Number of Limit Cycles of a General Lienard Equation [C] . Hero WaisiSalih, Zainal Abdul Aziz International Conference on Mathematical Sciences . 2014

机译：一般Lienard方程的最大限制周期数
5. On the maximum number of limit cycles of certain polynomial Lienard equations. [D] . Yao, Leummim. 1995

机译：关于某些多项式Lienard方程的极限环的最大数目。
6. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations [O] . Yuhai Wu, Jingjing Zhou -1

机译：一类平面奇异摄动微分方程的极限环
7. SHARP NON-EXISTENCE RESULTS OF PRESCRIBED L2-NORM SOLUTIONS FOR SOME CLASS OF SCHRÖDINGER-POISSON AND QUASILINEAR EQUATIONS [O] . Louis Jeanjean, Tingjian Luo 2016

机译：一类sCHRÖDINGER-pOIssON和拟线性方程的预定L2范数解的sHaRp非存在性结果
8. Existence and Uniqueness of Limit Cycles for a Special System of DifferentialEquations on the Plane [R] . Kooij, R. E. 1992

机译：平面上一类特殊微分方程系统极限环的存在唯一性

Existence and non-existence of limit cycles for Lienard prescribed curvature equations

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