The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems

被引：0

作者：

Juan Castillo

Jaume Llibre

Fernando Verduzco

机构：

[1] Universidad de Sonora,Departamento de Matemáticas

[2] Universitat Autònoma de Barcelona,Departament de Matemàtiques

来源：

Nonlinear Dynamics | 2017年 / 90卷

关键词：

Pseudo-Hopf bifurcation; Discontinuous piecewise linear differential systems; Sliding segment; Unfolding;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.

引用

页码：1829 / 1840

页数：11

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