Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.60, sa.1, ss.163-178, 2005 (SCI-Expanded, Scopus)
- 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.