BIFURCATION ANALYSIS AND FEEDBACK CONTROL OF A 3D CHAOTIC SYSTEM

被引:13
|
作者
Zhen Wang (Shaanxi University of Science and Technology
机构
关键词
Hopf bifurcation; Chaotic System; Homogeneous polynomials;
D O I
暂无
中图分类号
O231 [控制论(控制论的数学理论)]; O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this paper,we analyze a three-dimensional differential system derived from the Chen system based on the first Lyapunov coefficient,and apply it to investigate the local bifurcation.And we present some insights on bifurcation and stability,also obtain some conditions for subcritical and supercritical.Finally,we give some numerical simulation studies of system in order to verify analytic results.
引用
收藏
页码:343 / 353
页数:11
相关论文
共 50 条
  • [1] Delayed feedback control and bifurcation analysis of Rossler chaotic system
    Ding, Yuting
    Jiang, Weihua
    Wang, Hongbin
    NONLINEAR DYNAMICS, 2010, 61 (04) : 707 - 715
  • [2] Delayed Feedback Control and Bifurcation Analysis in a Chaotic Chemostat System
    Jiang, Zhichao
    Ma, Wanbiao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (06):
  • [3] Delayed feedback control and bifurcation analysis of Rossler chaotic system
    Yuting Ding
    Weihua Jiang
    Hongbin Wang
    Nonlinear Dynamics, 2010, 61 : 707 - 715
  • [4] Effective Control and Bifurcation Analysis in a Chaotic System with Distributed Delay Feedback
    Tan, Wei
    Gao, Jianguo
    Fan, Wenjun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [5] Analysis of a 3D chaotic system
    Tigan, Gheorghe
    Opris, Dumitru
    CHAOS SOLITONS & FRACTALS, 2008, 36 (05) : 1315 - 1319
  • [6] Bifurcation control analysis of a chaotic system
    Liang Zhang
    Qin Han
    Yu-jie Wan
    International Journal of Dynamics and Control, 2022, 10 : 800 - 809
  • [7] Bifurcation control analysis of a chaotic system
    Zhang, Liang
    Han, Qin
    Wan, Yu-jie
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2022, 10 (03) : 800 - 809
  • [8] Delayed feedback control of bao chaotic system based on hopf bifurcation analysis
    Khellat, Farhad
    Journal of Engineering Science and Technology Review, 2015, 8 (02) : 7 - 11
  • [9] Hopf bifurcation and heteroclinic orbit in a 3D autonomous chaotic system
    Xianyi Li
    Peng Wang
    Nonlinear Dynamics, 2013, 73 : 621 - 632
  • [10] Hopf bifurcation and heteroclinic orbit in a 3D autonomous chaotic system
    Li, Xianyi
    Wang, Peng
    NONLINEAR DYNAMICS, 2013, 73 (1-2) : 621 - 632