Global and non-global center conditions of generalized Liénard systems

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-08-06 DOI:10.1016/j.nonrwa.2025.104474

Maoan Han , Ci Kong , Pei Yu

引用次数: 0

Abstract

In this paper, we study global dynamics of generalized Liénard systems, and establish the necessary and sufficient conditions for generalized polynomial Liénard systems to have a center, a global center and an unbounded non-global center, respectively. As a corollary, we improve some known results and confirm a conjecture on global center conditions of a polynomial Liénard system.

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广义lisamadard系统的全局和非全局中心条件

本文研究了广义lisamadard系统的全局动力学问题，分别建立了广义多项式lisamadard系统具有中心、全局中心和无界非全局中心的充要条件。作为一个推论，我们改进了一些已知的结果，并证实了多项式lisamadard系统全局中心条件的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.