DEGENERATE HOPF BIFURCATIONS AND THE FORMATION MECHANISM OF CHAOS IN THE QI 3-D FOUR-WING CHAOTIC SYSTEM

被引：0
|
作者：
Liang, Hongtao [1 ]
Tang, Yanxia [2 ]
Li, Li [3 ]
Wei, Zhouchao [4 ]
Wang, Zhen [5 ]
机构：
[1] Wuyi Univ, Lab Management Ctr, Wuyishan 354300, Peoples R China
[2] Hebei North Univ, Coll Sci, Dept Math, Zhangjiakou 075000, Peoples R China
[3] Chinese Acad Sci, Wuhan Bot Garden, Wuhan 430074, Peoples R China
[4] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[5] Xijing Univ, Dept Fdn, Xian 710000, Peoples R China
来源：
KYBERNETIKA | 2013年 / 49卷 / 06期
关键词：
four-wing chaotic attractors; Lyapunov coefficient; degenerate Hopf bifurcations; period-doubling cascade; DYNAMICAL ANALYSIS; ATTRACTORS;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
引用
收藏
页码：935 / 947
页数：13
相关论文
共 41 条
  • [1] BIFURCATION ANALYSIS OF THE QI 3-D FOUR-WING CHAOTIC SYSTEM
    Sun, Yanxia
    Qi, Guoyuan
    Wang, Zenghui
    van Wyk, Barend Jacobus
    ACTA PHYSICA POLONICA B, 2010, 41 (04): : 767 - 778
  • [2] GENERATION OF AN EIGHT-WING CHAOTIC ATTRACTOR FROM QI 3-D FOUR-WING CHAOTIC SYSTEM
    Qi, Guoyuan
    Wang, Zhonglin
    Guo, Yanling
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (12):
  • [3] A GENERALIZED 3-D FOUR-WING CHAOTIC SYSTEM
    Wang, Zenghui
    Qi, Guoyuan
    Sun, Yanxia
    Van Wyk, Michael Antonie
    Van Wyk, Barend Jacobus
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (11): : 3841 - 3853
  • [4] Mechanism and Energy Cycling of the Qi Four-Wing Chaotic System
    Qi, Guoyuan
    Liang, Xiyin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (12):
  • [5] Si'lnikov Chaos of a 3-D Quadratic Autonomous System With a Four-Wing Chaotic Attractor
    Wang Xia
    Li Jianping
    Fang Jianyin
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 561 - 565
  • [6] Mechanical analysis of Qi four-wing chaotic system
    Guoyuan Qi
    Xiyin Liang
    Nonlinear Dynamics, 2016, 86 : 1095 - 1106
  • [7] Mechanical analysis of Qi four-wing chaotic system
    Qi, Guoyuan
    Liang, Xiyin
    NONLINEAR DYNAMICS, 2016, 86 (02) : 1095 - 1106
  • [8] Hopf Bifurcation in a Novel 3D-Chaotic System with a Four-Wing Attractor
    Mohammed, Bashdar M.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2025, 35 (04):
  • [9] A new four-dimensional four-wing chaotic circuit based on Qi chaotic system
    Lv Yanmin
    Min Fuhong
    Li Chuang
    Ye Biaoming
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 743 - 748
  • [10] Designing S-boxes based on 3-D four-wing autonomous chaotic system
    Guangjie Liu
    Weiwei Yang
    Weiwei Liu
    Yuewei Dai
    Nonlinear Dynamics, 2015, 82 : 1867 - 1877
12345