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Existence and bifurcation of homoclinic orbits in planar piecewise linear systems

Authors
  • Yang, Xiao-Song
  • Huan, Songmei
Type
Preprint
Publication Date
Jun 30, 2009
Submission Date
Jun 30, 2009
Identifiers
arXiv ID: 0907.0055
Source
arXiv
License
Yellow
External links

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.

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