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DOI码：

10.1016/j.jde.2020.03.048

发表刊物：

Journal of Differential Equations

关键字：

Limit cycle; Josephson equation; Homoclinic loop; Two-saddle loop; Saddle connection

摘要：

The Josephson equation $\dot \phi=y,~\dot y=-\sin\phi+\epsilon \big(a-(1+\gamma\cos\phi)y\big)$ was researched by Sanders and Cushman in [{\it SIAM J. Math. Anal.} {\bf 17} (1986), 495-511] for its phase portraits when $\epsilon>0$ is small by applying the averaging method. The parameter $\epsilon$ can actually be large or even any real number in the practical application of this model. When $|\epsilon|$ is not small, we cannot apply the averaging method because the system is not near-Hamiltonian. For general $\epsilon \in \mathbb{R}$, we present complete dynamics and more complex bifur

合写作者：

唐异垒

第一作者：

陈和柏

论文类型：

基础研究

学科门类：

数学

文献类型：

J

卷号：

269

期号：

6

页面范围：

4884-4913

是否译文：

否

发表时间：

2020-04-06

收录刊物：

SCI

发布期刊链接：

https://doi.org/10.1016/j.jde.2020.03.048