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Dangerous Border-collision Bifurcation for a Piecewise Smooth Nonlinear System
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  • Journal title : Kyungpook mathematical journal
  • Volume 52, Issue 4,  2012, pp.459-472
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2012.52.4.459
 Title & Authors
Dangerous Border-collision Bifurcation for a Piecewise Smooth Nonlinear System
Kang, Hunseok;
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A piecewise smooth system is characterized by non-differentiability on a curve in the phase space. In this paper, we discuss particular bifurcation phenomena in the dynamics of a piecewise smooth system. We consider a two-dimensional piecewise smooth system which is composed of a linear map and a nonlinear map, and analyze the stability of the system to determine the existence of dangerous border-collision bifurcation. We finally present some numerical examples of the bifurcation phenomena in the system.
piecewise smooth system;(dangerous) border-collision bifurcation;
 Cited by
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