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

被引：13
|
作者：
Dieci, L. [1 ]
Elia, C. [1 ]
机构：
[1] Georgia Tech, Sch Math, Atlanta, GA 30332 USA
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2014年 / 26卷 / 04期
关键词：
Piecewise smooth systems; Periodic orbits; Bifurcation; Filippov; Hopf; GENERALIZED HOPF-BIFURCATION; FILIPPOV SYSTEMS;
D O I：
10.1007/s10884-014-9380-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：1049 / 1078
页数：30
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