BRIDGE BETWEEN THE HYPERCHAOTIC LORENZ SYSTEM AND THE HYPERCHAOTIC CHEN SYSTEM

被引：5
|
作者：
Ma, Chao [1 ]
Wang, Xingyuan [1 ]
机构：
[1] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Hyperchaotic Lorenz system; hyperchaotic Chen system; unified hyperchaotic system; STATE-FEEDBACK CONTROL; CHAOTIC ATTRACTOR; EQUATION;
D O I：
10.1142/S0217979211057967
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This paper presents a novel unified hyperchaotic system that contains the hyperchaotic Lorenz system and the hyperchaotic Chen system as two dual systems at the two extremes of its parameter spectrum. The new system is hyperchaotic over almost the whole range of the system parameter and continuously transfers from the hyperchaotic Lorenz system to the hyperchaotic Chen system. The new findings are not only demonstrated by computer simulations but also verified with bifurcation analysis, Lyapunov exponents and Lyapunov dimension.
引用
收藏
页码：711 / 721
页数：11
相关论文
共 50 条
  • [1] Hyperchaotic Lorenz system
    Wang Xing-Yuan
    Wang Ming-Jun
    [J]. ACTA PHYSICA SINICA, 2007, 56 (09) : 5136 - 5141
  • [2] Synchronization of Hyperchaotic Rossler System and Hyperchaotic Lorenz System with Different Structure
    Wei, Yi-qiang
    Jiang, Nan
    [J]. WEB INFORMATION SYSTEMS AND MINING, PT II, 2011, 6988 : 147 - 153
  • [3] Dynamics of a hyperchaotic Lorenz system
    Barboza, Ruy
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (12): : 4285 - 4294
  • [4] Controlling Lorenz system to hyperchaotic
    Wang, Guangyi
    Zhen, Yan
    Li, Yuxia
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1543 - 1545
  • [5] Synchronization for hyperchaotic Chen system and hyperchaotic Rossler system with different structure
    Cai Guo-Liang
    Huang Juan-Juan
    [J]. ACTA PHYSICA SINICA, 2006, 55 (08) : 3997 - 4004
  • [6] Controlling Chen hyperchaotic system
    Feng, Jianwen
    Chen, Shihua
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (04) : 369 - 374
  • [7] Generalized Asymptotic Synchronization between Chen Hyperchaotic System and Liu Hyperchaotic system: A Fuzzy Modeling Method
    Xu, Mei-Jin
    Zhao, Yan
    Han, Xi-Chang
    Zhang, Yu-Yan
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 361 - +
  • [8] Synchronization of A New Hyperchaotic Lorenz System
    Li, Yuxia
    Liu, Xuezhen
    Zhao, Dandan
    Cao, Yongchao
    [J]. International Conference on Intelligent Computation Technology and Automation, Vol 2, Proceedings, 2008, : 1015 - 1019
  • [9] Adaptive modified function projective synchronization between hyperchaotic Lorenz system and hyperchaotic Lu system with uncertain parameters
    Sudheer, K. Sebastian
    Sabir, M.
    [J]. PHYSICS LETTERS A, 2009, 373 (41) : 3743 - 3748
  • [10] Homotopy approach for the hyperchaotic Chen system
    Alomari, A. K.
    Noorani, M. S. M.
    Nazar, R.
    [J]. PHYSICA SCRIPTA, 2010, 81 (04)
12345