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.
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页码：1829 / 1840
页数：11
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