Stability and Hopf bifurcation analysis of a new system

被引:15
|
作者
Huang, Kuifei [2 ]
Yang, Qigui [1 ]
机构
[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Guangdong, Peoples R China
[2] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China
基金
中国国家自然科学基金;
关键词
LORENZ CANONICAL FORM; CHENS SYSTEM; CHAOTIC ATTRACTOR; DYNAMICAL-SYSTEMS; LU SYSTEM; SYNCHRONIZATION;
D O I
10.1016/j.chaos.2007.01.107
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, it new chaotic system is introduced. The system contains special cases as the modified Lorenz system and Conjugate Chen system. Some subtle characteristics of stability and Hopf bifurcation of the new chaotic system are thoroughly investigated by rigorous mathematical analysis and symbolic computations. Meanwhile, some numerical simulations for justifying the theoretical analysis are also presented. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:567 / 578
页数:12
相关论文
共 50 条
  • [21] Hopf bifurcation analysis of the Lu system
    Yu, YG
    Zhang, SC
    CHAOS SOLITONS & FRACTALS, 2004, 21 (05) : 1215 - 1220
  • [22] Hopf bifurcation analysis in the T system
    Jiang, Bo
    Han, Xiujing
    Bi, Qinsheng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 522 - 527
  • [23] Stability and Hopf bifurcation analysis of a prey-predator system with two delays
    Li, Kai
    Wei, Junjie
    CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 2606 - 2613
  • [24] Stability and Hopf Bifurcation Analysis for a Two-Species Commensalism System with Delay
    Tianyang Li
    Qiru Wang
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [25] Stability Analysis of Pump Turbine Regulating System Based On Hopf Bifurcation Theory
    Zhuang, Ming
    Jiang, Tao
    Li, Yong
    Cao, Linning
    2018 4TH INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND MATERIAL APPLICATION, 2019, 252
  • [26] Stability and Hopf Bifurcation Analysis for a Two-Species Commensalism System with Delay
    Li, Tianyang
    Wang, Qiru
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (03)
  • [27] Hopf Bifurcation Analysis to Dynamic Voltage Stability of Flexible AC Transmission System
    Wang, Yan
    Jing, Yuanwei
    Zhao, Weilun
    Yu, Hongtao
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 674 - 678
  • [28] Stability and Hopf bifurcation analysis of novel hyperchaotic system with delayed feedback control
    Prakash, Mani
    Balasubramaniam, Pagavathigounder
    COMPLEXITY, 2016, 21 (06) : 180 - 193
  • [29] Stability and Hopf bifurcation of a Lorenz-like system
    Wu, Ranchao
    Fang, Tianbao
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 : 335 - 343
  • [30] Stability and Hopf bifurcation for a delay competition diffusion system
    Zhou, L
    Tang, YB
    Hussein, SG
    CHAOS SOLITONS & FRACTALS, 2002, 14 (08) : 1201 - 1225