Analysis of a new three-dimensional chaotic system

被引：33
|
作者：
Zhang, Xuebing [1 ]
Zhu, Honglan [2 ]
Yao, Hongxing [3 ]
机构：
[1] Huaian Coll Informat Technol, Dept Basic Course, Huaian 223003, Peoples R China
[2] Huaiyin Inst Technol, Fac Sci Math & Phys, Huaian 223003, Peoples R China
[3] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 67卷 / 01期
基金：
中国国家自然科学基金;
关键词：
New chaotic system; Lyapunov-exponent spectrum; Bifurcation; Phase portraits; LORENZ CANONICAL FORM; SYNCHRONIZATION; ATTRACTOR; CIRCUITS; SIGNAL;
D O I：
10.1007/s11071-011-9981-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new three-dimensional autonomous system versus the control parameters is illustrated by bifurcation diagram, Lyapunov-exponent spectrum, phase portraits, etc.
引用
收藏
页码：335 / 343
页数：9
相关论文
共 50 条
  • [1] Analysis of a new three-dimensional chaotic system
    Xuebing Zhang
    Honglan Zhu
    Hongxing Yao
    Nonlinear Dynamics, 2012, 67 : 335 - 343
  • [2] A new three-dimensional chaotic system: Dynamical properties and simulation
    Gholamin, P.
    Sheikhani, A. H. Refahi
    CHINESE JOURNAL OF PHYSICS, 2017, 55 (04) : 1300 - 1309
  • [3] Analysis of a new three-dimensional quadratic chaotic system
    Elhadj, Zeraoulia
    RADIOENGINEERING, 2008, 17 (01) : 9 - 13
  • [4] Analysis of a novel three-dimensional chaotic system
    Li, Chunlai
    Li, Hongmin
    Tong, Yaonan
    OPTIK, 2013, 124 (13): : 1516 - 1522
  • [5] Dynamical analysis of a new three-dimensional fractional chaotic system
    Gholamin, P.
    Sheikhani, A. H. Refahi
    PRAMANA-JOURNAL OF PHYSICS, 2019, 92 (06):
  • [6] Dynamics of a three-dimensional chaotic system
    Tong, Yao-Nan
    OPTIK, 2015, 126 (24): : 5563 - 5565
  • [7] Analysis, circuit implementation and synchronization of a new three-dimensional chaotic system
    Wang Fan-Zhen
    Qi Guo-Yuan
    Chen Zeng-Qiang
    Zhang Yu-Hui
    Yuan Zhu-Zhi
    ACTA PHYSICA SINICA, 2006, 55 (08) : 4005 - 4012
  • [8] Dynamical analysis and circuit simulation of a new three-dimensional chaotic system
    Wang Ai-Yuan
    Ling Zhi-Hao
    CHINESE PHYSICS B, 2010, 19 (07)
  • [9] A novel three-dimensional autonomous chaotic system
    Feng Chao-Wen
    Cai Li
    Kang Qiang
    Zhang Li-Sen
    ACTA PHYSICA SINICA, 2011, 60 (03)
  • [10] A new three-dimensional piecewise-linear chaotic system
    Qiao, Xiao-Hua
    Bao, Bo-Cheng
    Dianzi Keji Daxue Xuebao/Journal of the University of Electronic Science and Technology of China, 2009, 38 (04): : 564 - 568
12345