Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:490

Article

Sheng, Lijuan¹  Wang, Shanshan¹  Li, Xueli¹  Han, Maoan^1,2 

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

关键词: Periodic orbit;    Bifurcation;    Multiple small parameters;    Limit cycle;    Averaging function;   

DOI  :  10.1016/j.jmaa.2020.124311

来源: Elsevier

【 摘 要 】

We investigate a class of n-dimensional periodic differential equations with multiple small parameters by averaging method, and obtain sufficient conditions for the existence of multiple periodic orbits. As applications of the main results, a cubic system is studied. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free