Existence and bifurcation of homoclinic orbits in planar piecewise linear systems
Dynamical Systems
2009-07-02 v1
Abstract
The existence and bifurcation of homoclinic orbits in planar piecewise linear homogeneous systems with two regions separated by a discontinuity boundary are investigated in this paper. In addition, existence of periodic orbits and stability of the origin are also discussed without the assumption of continuity for the planar piecewise linear homogeneous systems.
Keywords
Cite
@article{arxiv.0907.0055,
title = {Existence and bifurcation of homoclinic orbits in planar piecewise linear systems},
author = {Xiao-Song Yang and Songmei Huan},
journal= {arXiv preprint arXiv:0907.0055},
year = {2009}
}
Comments
17pages,20figures