Periodic Orbits for Planar Piecewise Smooth Systems with a Line of Discontinuity

被引：0
|
作者：
L. Dieci
C. Elia
机构：
[1] Georgia Tech,School of Mathematics
来源：
Journal of Dynamics and Differential Equations | 2014年 / 26卷
关键词：
Piecewise smooth systems; Periodic orbits; Bifurcation; Filippov; Hopf; 34C29; 37G15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work we examine the existence of periodic orbits for planar piecewise smooth dynamical systems with a line of discontinuity. Unlike existing works, we consider the case where the line does not contain the equilibrium point. Most of the analysis is for a family of piecewise linear systems, and we discover new phenomena which produce the birth of periodic orbits, as well as new bifurcation phenomena of the periodic orbits themselves. A model nonlinear piecewise smooth systems is examined as well.
引用
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页码：1049 / 1078
页数：29
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