Symmetry breaking bifurcation analysis and control of a cubic discrete chaotic system

被引：0
|
作者：
Liang Zhang
Qin Han
机构：
[1] Jianghan University,School of Intelligent Manufacturing
[2] Wuhan Qingchuan University,College of Mechanical and Electrical Engineering
来源：
The European Physical Journal Special Topics | 2022年 / 231卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The period-doubling bifurcation physical process of a cubic discrete chaotic systems is obtained by studying the bifurcation characteristics of the system. Existence of the symmetry breaking bifurcation is looked into by selecting the bifurcation parameter. The cause of symmetry breaking bifurcation is investigated by solving the two-period bifurcation solutions of the system, and the critical value of symmetry breaking bifurcation recovery is got. With using the state feedback control method, a nonlinear controller is proposed to control the bifurcation of the system, and the influence of the controller with different control parameters on the bifurcation characteristics of the system is analyzed. By adjusting the control parameters of the controller, the position of bifurcation point is changed. Then, the delay or advance of period-doubling bifurcation and the appearance of symmetry breaking bifurcation are carried out. The purpose of bifurcation control is realized.
引用
收藏
页码：2125 / 2131
页数：6
相关论文
共 50 条
  • [31] Equilibrium points and bifurcation control of a chaotic system
    Liang Cui-Xiang
    Tang Jia-Shi
    CHINESE PHYSICS B, 2008, 17 (01) : 135 - 139
  • [32] Bifurcation and chaotic behavior of a discrete singular biological economic system
    Chen, Boshan
    Chen, Jiejie
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (05) : 2371 - 2386
  • [33] Bifurcation and Chaotic Behavior of a Discrete Fractional Order Lorenz System
    Selvam, A. George Maria
    Vianny, D. Abraham
    11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 2112
  • [34] Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross—Pitaevskii Equation
    R. K. Jackson
    M. I. Weinstein
    Journal of Statistical Physics, 2004, 116 : 881 - 905
  • [35] The Effects of Symmetry Breaking Perturbation on the Dynamics of a Novel Chaotic System with Cyclic Symmetry: Theoretical Analysis and Circuit Realization
    Kengne, Jacques
    Dountsop, Sandrine Zoulewa
    Chedjou, Jean Chamberlain
    Nosirov, Khabibullo
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (14):
  • [36] Wafer Bifurcation as a Spontaneous Symmetry Breaking
    Vinciguerra, Vincenzo
    Landi, Antonio
    Malgioglio, Giuseppe Luigi
    2022 23RD INTERNATIONAL CONFERENCE ON THERMAL, MECHANICAL AND MULTI-PHYSICS SIMULATION AND EXPERIMENTS IN MICROELECTRONICS AND MICROSYSTEMS (EUROSIME), 2022,
  • [37] BIFURCATION AND SYMMETRY BREAKING FOR THE HENON EQUATION
    Amadori, Anna Lisa
    Gladiali, Francesca
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2014, 19 (7-8) : 755 - 782
  • [38] Symmetry breaking bifurcation of membranes with boundary
    Palmer, Bennett
    Pampano, Alvaro
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2024, 238
  • [39] Insight into phenomena of symmetry breaking bifurcation
    Fang Tong
    Zhang Ying
    CHINESE PHYSICS LETTERS, 2008, 25 (08) : 2809 - 2811
  • [40] SYMMETRY-BREAKING BIFURCATION IN THE SYSTEM OF DISSIPATIVELY COUPLED RECURRENT MAPPINGS
    KUZNETSOV, SP
    PIKOVSKIJ, AS
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOFIZIKA, 1989, 32 (01): : 49 - 54
12345