Perturbations and Hopf bifurcation of the planar discontinuous dynamical system

被引：46
|
作者：
Akhmet, MU [1 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
[2] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 01期
关键词：
planar dynamical systems; discontinuous systems; focus; centre; stability; Hopf bifurcation;
D O I：
10.1016/j.na.2004.08.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：163 / 178
页数：16
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