Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 69, Issue 10, Pages 3610-3628Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2007.09.045
Keywords
Filippov system; Non-smooth system; Periodic orbits; Poincare map; Bifurcation
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In this paper we discuss the perturbations of a general planar Filippov system with exactly one switching line. When the system has it limit cycle, we give a condition for its persistence, when the system has ail annulus of periodic orbits, we give a condition under which limit cycles are bifurcated from the annulus. We also further discuss the stability and bifurcations of a nonhyperbolic limit cycle. When the system has an annulus of periodic orbits, we show via an example how the number of limit cycles bifurcated from the annulus is affected by the switching. (c) 2007 Elsevier Ltd. All rights reserved.
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