Bifurcation of Equilibria in a Class of Planar Piecewise Smooth Systems with 3 Parameters

被引：1
|
作者：
Zang Lin
机构：
来源：
Communications in Mathematical Research | 2009年 / 25卷 / 03期
关键词：
piecewise smooth system; line of discontinuity; equilibria; bifurcation;
D O I：
10.13447/j.1674-5647.2009.03.002
中图分类号：
O177.91 [非线性泛函分析];
学科分类号：
070104 ;
摘要：
The goal of this paper is to investigate the bifurcation properties of stationary points of a class of planar piecewise smooth systems with 3 parameters using the theory of differential inclusions.We especially study the existence of the stationary points on the line of discontinuity of this kind of planar piecewise smooth system.
引用
收藏
页码：204 / 212
页数：9
相关论文
共 50 条
  • [41] Periodic Orbits for Planar Piecewise Smooth Systems with a Line of Discontinuity
    L. Dieci
    C. Elia
    Journal of Dynamics and Differential Equations, 2014, 26 : 1049 - 1078
  • [42] Periodic Orbits for Planar Piecewise Smooth Systems with a Line of Discontinuity
    Dieci, L.
    Elia, C.
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2014, 26 (04) : 1049 - 1078
  • [43] On Double Boundary Equilibrium Bifurcations in Piecewise Smooth Planar Systems
    Pagano, Daniel J.
    Ponce, Enrique
    Torres, Francisco
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2011, 10 (02) : 277 - 301
  • [44] Hopf Bifurcation of Limit Cycles in Some Piecewise Smooth Lienard Systems
    Xu, Weijiao
    Han, Maoan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (12):
  • [45] BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
    Han, Maoan
    Sheng, Lijuan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2015, 5 (04): : 809 - 815
  • [46] Controller parameters selection through bifurcation analysis in a piecewise-smooth system
    Navarro-Lopez, Eva M.
    Cortes, Domingo
    HYBRID SYSTEMS: COMPUTATION AND CONTROL, PROCEEDINGS, 2007, 4416 : 736 - +
  • [47] Global Bifurcation for a Class of Planar Filippov Systems with Symmetry
    Chen, Hebai
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2016, 15 (02) : 349 - 365
  • [48] Bifurcation of periodic orbits in a class of planar Filippov systems
    Du, Zhengdong
    Li, Yurong
    Zhang, Weinian
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3610 - 3628
  • [49] Generalized Hopf bifurcation in a class of planar switched systems
    Huan, Song-Mei
    Yang, Xiao-Song
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2011, 26 (04): : 433 - 445
  • [50] Global Bifurcation for a Class of Planar Filippov Systems with Symmetry
    Hebai Chen
    Qualitative Theory of Dynamical Systems, 2016, 15 : 349 - 365
12345