Nonlinear dynamics analysis of a new autonomous chaotic system

被引：20
|
作者：
Chu, Yan-Dong
Li, Xian-Feng [1 ]
Zhang, Jian-Gang
Chang, Ying-Xiang
机构：
[1] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Peoples R China
[2] Lanzhou Jiaotong Univ, Nonlinear Sci Res Ctr, Lanzhou 730070, Peoples R China
来源：
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A | 2007年 / 8卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Lyapunov exponents; bifurcation; chaos; phase space; poincare sections;
D O I：
10.1631/jzus.2007.A1408
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a new nonlinear autonomous system introduced by Chlouverakis and Sprott is studied further, to present very rich and complex nonlinear dynamical behaviors. Some basic dynamical properties are studied either analytically or numerically, such as Poincare map, Lyapunov exponents and Lyapunov dimension. Based on this flow, a new almost-Hamilton chaotic system with very high Lyapunov dimensions is constructed and investigated. Two new nonlinear autonomous systems can be changed into one another by adding or omitting some constant coefficients.
引用
收藏
页码：1408 / 1413
页数：6
相关论文
共 50 条
  • [41] Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
    Wei, Zhouchao
    Yang, Qigui
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 106 - 118
  • [42] Dynamics analysis and circuit implementation of a new three-dimensional chaotic system
    Zhou, Wu-jie
    Wang, Zhong-peng
    Wu, Ming-wei
    Zheng, Wei-hong
    Weng, Jian-feng
    OPTIK, 2015, 126 (7-8): : 765 - 768
  • [43] Dynamics and Robust Control of a New Realizable Chaotic Nonlinear Model
    Higazy, M.
    Mahmoud, Emad E.
    Khalil, E. M.
    Abdel-Khalek, S.
    Abo-Dahab, S. M.
    Alotaibi, Hammad
    COMPLEXITY, 2021, 2021 (2021)
  • [44] Dynamic Analysis for a Fractional-Order Autonomous Chaotic System
    Zhang, Jiangang
    Nan, Juan
    Du, Wenju
    Chu, Yandong
    Luo, Hongwei
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
  • [45] A New Simple Chaotic System with One Nonlinear Term
    Bouteraa, Yassine
    Mostafaee, Javad
    Kchaou, Mourad
    Abbassi, Rabeh
    Jerbi, Houssem
    Mobayen, Saleh
    MATHEMATICS, 2022, 10 (22)
  • [46] ASYMPTOTIC ANALYSIS OF A NONLINEAR AUTONOMOUS VIBRATORY SYSTEM
    MORRISON, JA
    BELL SYSTEM TECHNICAL JOURNAL, 1970, 49 (01): : 73 - +
  • [47] Dynamics analysis of a new simple chaotic attractor
    Lin Pan
    Wuneng Zhou
    Jian’an Fang
    International Journal of Control, Automation and Systems, 2010, 8 : 468 - 472
  • [48] Dynamics Analysis of a New Simple Chaotic Attractor
    Pan, Lin
    Zhou, Wuneng
    Fang, Jian'an
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2010, 8 (02) : 468 - 472
  • [49] Dynamics analysis and synchronization of a new chaotic attractor
    Deng, Kuibiao
    Li, Jing
    Yu, Simin
    OPTIK, 2014, 125 (13): : 3071 - 3075
  • [50] On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
    Dumitru Baleanu
    Samaneh Sadat Sajjadi
    Amin Jajarmi
    Özlem Defterli
    Advances in Difference Equations, 2021
12345