Bifurcation of three-dimensional discontinuous cycles
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.71, no.12, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 71 Issue: 12
- Publication Date: 2009
- Doi Number: 10.1016/j.na.2009.03.071
- Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Middle East Technical University Affiliated: Yes
Abstract
We consider three-dimensional discontinuous dynamical systems with non-fixed moments of impacts. Existence of the center manifold is proved for the system. The result is applied for the extension of the planar Hopf bifurcation theorem [M.U. Akhmet, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, Nonlinear Analysis 60 (2005) 163-178]. Illustrative examples are constructed for the theory. (C) 2009 Elsevier Ltd. All rights reserved.