Bifurcation in a 3D Hybrid system

AKHMET M., Turan M.

Communications in Applied Analysis, vol.14, no.3-4, pp.311-324, 2010 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 3-4
  • Publication Date: 2010
  • Journal Name: Communications in Applied Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.311-324
  • Middle East Technical University Affiliated: Yes

Abstract

In this paper, we study a 3 dimensional Hybrid system which involves a switching mechanism such that at the moment of switching the differential equation that governs the mode] is changing. We first show that there is a center manifold and based on the results in [2] we show that the system under investigation has a Hopf bifurcation. An appropriate example is constructed to illustrate the theory. © Dynamic Publishers, Inc.