Bifurcation of three-dimensional discontinuous cycles

AKHMET, MARAT; TURAN, MEHMET

doi:10.1016/j.na.2009.03.071

Bifurcation of three-dimensional discontinuous cycles

AKHMET M., TURAN M.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.71, sa.12, 2009 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 71 Sayı: 12
Basım Tarihi: 2009
Doi Numarası: 10.1016/j.na.2009.03.071
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.