Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1888527 | Chaos, Solitons & Fractals | 2015 | 11 Pages |
Abstract
This paper is concerned with the problem of limit cycle bifurcation near a homoclinic or heteroclinic loop for non-smooth systems. By establishing the Poincaré map, some stability criteria are derived for a homoclinic loop in the non-smooth system under study. Furthermore, based on the theory of stability-changing of a homoclinic loop, a new approach is proposed to find limit cycles for the non-smooth system. Finally, several examples are provided to illustrate the obtained results.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yanqin Xiong, Maoan Han,