Perturbations and Hopf bifurcation of the planar discontinuous dynamical system

Akhmet M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.60, sa.1, ss.163-178, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.na.2004.08.029
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.163-178
  • Anahtar Kelimeler: planar dynamical systems, discontinuous systems, focus, centre, stability, Hopf bifurcation, STABILITY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.