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;
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.