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
  • [31] Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances
    Chang, Kuo-Ming
    CHAOS SOLITONS & FRACTALS, 2008, 36 (02) : 460 - 468
  • [32] Nonlinear analysis of a novel three-scroll chaotic system
    College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
    不详
    J. Appl. Math. Comp., 2012, 1-2 (319-332): : 319 - 332
  • [33] Analysis of chaotic saddles in a nonlinear vibro-impact system
    Feng, Jinqian
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 39 - 50
  • [34] Analysis for a typical nonlinear feedback chaotic system and synchronization control
    Chen, Cong-Yan
    Song, Wen-Zhong
    Kongzhi yu Juece/Control and Decision, 2002, 17 (01): : 49 - 52
  • [35] Interpolation of missing data using nonlinear and chaotic system analysis
    1995, (140):
  • [36] Chaotic Motion of Nonlinear System
    Aslanov, V. S.
    Ivanov, B. V.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2008, 8 (04): : 38 - 43
  • [37] A new nonlinear chaotic system
    Liu, CX
    Liu, T
    Liu, L
    Su, YC
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (03) : 345 - 352
  • [38] Study of differential control method for solving chaotic solutions of nonlinear dynamic system
    Li-guo Wang
    Xiangjun Zhang
    Dianguo Xu
    Wenhu Huang
    Nonlinear Dynamics, 2012, 67 : 2821 - 2833
  • [39] Study of differential control method for solving chaotic solutions of nonlinear dynamic system
    Wang, Li-guo
    Zhang, Xiangjun
    Xu, Dianguo
    Huang, Wenhu
    NONLINEAR DYNAMICS, 2012, 67 (04) : 2821 - 2833
  • [40] Nonlinear And Nonlinear Fractional Order Chaotic System Identification and comparison Between Two Chaotic System
    Mehta, Sandip A.
    Panchal, Snehal
    2013 4TH NIRMA UNIVERSITY INTERNATIONAL CONFERENCE ON ENGINEERING (NUICONE 2013), 2013,
12345