NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.60, no.1, pp.163-178, 2005 (SCI-Expanded)
Article / Article
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
planar dynamical systems, discontinuous systems, focus, centre, stability, Hopf bifurcation, STABILITY
Middle East Technical University Affiliated:
The objective of the paper is to obtain results on the behavior of a specific plane discontinuous dynamical system in the neighbourhood of the singular point. A new technique of investigation is presented. Conditions for existence of the foci and centres are proposed. The focus-centre problem and Hopf bifurcation are considered. Appropriate examples are given to ilustrate the bifurcation theorem. (C) 2004 Elsevier Ltd. All rights reserved.