Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances

被引：2
|
作者：
Geng, Lingling [1 ]
Yu, Yongguang [1 ]
Zhang, Shuo [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
PERIOD-DOUBLING BIFURCATION; DER-POL SYSTEM; POLYNOMIAL-APPROXIMATION; LORENZ; UNCERTAINTY; FLOW;
D O I：
10.1155/2014/610816
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlinear chaotic system with multistochastic disturbances is investigated. Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturbances can be reduced into that of its equivalent deterministic system. Especially, the Lorenz system with multistochastic disturbances is studied to demonstrate the feasibility of the given method. And its dynamic behaviors are gained including the phase portrait, the bifurcation diagram, the Poincare section, and the maximum Lyapunov exponent.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] Dynamic characteristics analysis of the Shimizu-Morioka chaotic system
    Shi, Wenxin
    Jia, Hongyan
    PROCEEDINGS OF THE 2020 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS (ICAROB2020), 2020, : 813 - 816
  • [42] Chaotic dynamic behavior analysis and control for a financial risk system
    Zhang Xiao-Dan
    Liu Xiang-Dong
    Zheng Yuan
    Liu Cheng
    CHINESE PHYSICS B, 2013, 22 (03)
  • [43] Multiple attractors and dynamic analysis of a no-equilibrium chaotic system
    Zuo, Jing-long
    Li, Chun-Lai
    OPTIK, 2016, 127 (19): : 7952 - 7957
  • [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] Chaotic dynamic behavior analysis and control for a financial risk system
    张晓丹
    刘祥东
    郑媛
    刘澄
    Chinese Physics B, 2013, (03) : 260 - 265
  • [46] Dynamic analysis of a fractional-order Lorenz chaotic system
    Yu, Yongguang
    Li, Han-Xiong
    Wang, Sha
    Yu, Junzhi
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1181 - 1189
  • [47] Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor
    Tian, Huaigu
    Wang, Zhen
    Zhang, Peijun
    Chen, Mingshu
    Wang, Yang
    COMPLEXITY, 2021, 2021
  • [48] Dynamic Analysis of Fractional-Order Memristive Chaotic System
    Dawei Ding
    Shujia Li
    Nian Wang
    Journal of Harbin Institute of Technology(New Series), 2018, 25 (02) : 50 - 58
  • [49] THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS
    马军海
    陈予恕
    刘曾荣
    AppliedMathematicsandMechanics(EnglishEdition), 1998, (06) : 513 - 520
  • [50] Threshold value for diagnosis of chaotic nature of the data obtained in nonlinear dynamic analysis
    Junhai M.
    Yushu C.
    Zengrong L.
    Applied Mathematics and Mechanics, 1998, 19 (6) : 513 - 520
12345