Study on the dynamical behaviors of a two-dimensional discrete system

被引：4
|
作者：
Gao, Yinghui [1 ,2 ,3 ]
Liu, Bing [4 ]
机构：
[1] Beihang Univ, Dept Math, Beijing 100083, Peoples R China
[2] Beihang Univ, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China
[3] Peking Univ, Minist Educ, Beijing, Peoples R China
[4] Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Generalized Ushiki map; Bifurcation; Marotto chaos; Intermittency; Crisis; CHAOTIC ATTRACTOR TRANSITIONS; SNAP-BACK-REPELLER; UNIVERSALITY;
D O I：
10.1016/j.na.2008.09.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized Ushiki map is investigated. It is theoretically proven that there are transcritical and flip bifurcations and there exists a chaotic phenomenon in the sense of Marotto. And numerical simulations not only show the consistency with the theoretical analysis but also exhibit the complex dynamical behaviors including the period-6, 5, 3 windows, intermittency mechanics, attractor merging crisis and boundary crisis. The computation of Lyapunov exponents conforms the dynamical behaviors. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4209 / 4216
页数：8
相关论文
共 50 条
  • [21] Dynamical conductivity of a two-dimensional weakly doped Holstein system
    Rukelj, Z.
    Radic, D.
    Krsnik, J.
    Barisic, O. S.
    Mishchenko, A. S.
    Kupcic, I.
    PHYSICAL REVIEW B, 2023, 108 (15)
  • [22] Performance of a nonlinear dynamical system of two-dimensional TPC decoder
    He, Yejun
    Zhu, Guangxi
    Liu, Deming
    2007 IEEE INTERNATIONAL CONFERENCE ON INTEGRATION TECHNOLOGY, PROCEEDINGS, 2007, : 78 - +
  • [23] Construction of exact dynamical invariants of two-dimensional classical system
    Mishra, SC
    Chand, F
    PRAMANA-JOURNAL OF PHYSICS, 2006, 66 (03): : 601 - 607
  • [24] Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems
    Liu, Limei
    Zhong, Xitong
    MATHEMATICS, 2024, 12 (15)
  • [25] Analytic Invariant Curves in a Two Dimensional Complex Discrete Dynamical System
    Liu, Lingxia
    APPLIED INFORMATICS AND COMMUNICATION, PT I, 2011, 224 : 190 - 201
  • [26] Analytic Invariant Curves in a Two Dimensional Complex Discrete Dynamical System
    Liu, Lingxia
    2010 THE 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND INDUSTRIAL APPLICATION (PACIIA2010), VOL I, 2010, : 117 - 121
  • [27] On the decomposition of two-dimensional behaviors
    Valcher, ME
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2000, 11 (1-2) : 49 - 65
  • [28] On the Decomposition of Two-Dimensional Behaviors
    Maria Elena Valcher
    Multidimensional Systems and Signal Processing, 2000, 11 : 49 - 65
  • [29] Two-dimensional discrete morphing
    Boukhriss, I
    Miguet, S
    Tougne, L
    COMBINATORIAL IMAGE ANALYSIS, PROCEEDINGS, 2004, 3322 : 409 - 420
  • [30] A new spatiotemporal chaotic system based on two-dimensional discrete system
    Zongwang Lv
    Fuyan Sun
    Chengxin Cai
    Nonlinear Dynamics, 2022, 109 : 3133 - 3144
12345