Dynamical Behavior of a Generalized Lorenz System Model and its Simulation

被引：1
|
作者：
Zhang, Fuchen [1 ]
Liao, Xiaofeng [2 ]
Zhang, Guangyun [3 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400716, Peoples R China
[3] Chongqing Technol & Business Univ, Int Business Sch, Chongqing 400067, Peoples R China
来源：
COMPLEXITY | 2016年 / 21卷 / S1期
基金：
中国国家自然科学基金;
关键词：
chaotic system; domain of attraction; hidden attractors; HOMOCLINIC TRAJECTORIES; HIDDEN ATTRACTOR; SHIMIZU-MORIOKA; CHAOTIC SYSTEM; EXISTENCE; CHEN; LU; DIMENSION; ORBITS; BOUNDS;
D O I：
10.1002/cplx.21714
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the dynamical behavior of a generalized Lorenz system is derived based on stability theory of dynamical systems. The meaningful contribution of this article is that the domain of attraction of the new chaotic system is studied in detailed. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results. (C) 2015 Wiley Periodicals, Inc.
引用
收藏
页码：99 / 105
页数：7
相关论文
共 50 条
  • [41] New estimate the bounds for the generalized Lorenz system
    Zhang, Fuchen
    Zhang, Guangyun
    Lin, Da
    Sun, Xiangkai
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (08) : 1696 - 1704
  • [42] Nonlinear dynamics and complexity in the generalized Lorenz system
    Wiesław M. Macek
    Nonlinear Dynamics, 2018, 94 : 2957 - 2968
  • [43] COMPARISON OF LORENZ-LIKE LASER BEHAVIOR WITH THE LORENZ MODEL
    HUBNER, U
    KLISCHE, W
    ABRAHAM, NB
    WEISS, CO
    COHERENCE AND QUANTUM OPTICS VI, 1989, : 517 - 520
  • [44] HOMOCLINIC ORBITS AND CHAOS IN THE GENERALIZED LORENZ SYSTEM
    Yang, Ting
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (03): : 1097 - 1108
  • [45] Existence of a Singularly Degenerate Heteroclinic Cycle in the Lorenz System and Its Dynamical Consequences: Part I
    Hiroshi Kokubu
    Robert Roussarie
    Journal of Dynamics and Differential Equations, 2004, 16 (2) : 513 - 557
  • [46] A Compartmental Model for Traffic Networks and Its Dynamical Behavior
    Coogan, Samuel
    Arcak, Murat
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (10) : 2698 - 2703
  • [47] On the chaotic behavior of a generalized logistic p-adic dynamical system
    Mukhamedov, Farrukh
    Mendes, Jose F. F.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) : 125 - 145
  • [48] Dynamical behavior of a generalized eco-epidemiological system with prey refuge
    Shufan Wang
    Zhihui Ma
    Wenting Wang
    Advances in Difference Equations, 2018
  • [49] Dynamical behavior of a generalized eco-epidemiological system with prey refuge
    Wang, Shufan
    Ma, Zhihui
    Wang, Wenting
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [50] GLOBAL DYNAMICAL BEHAVIOR OF A GENERALIZED MUTHUSWAMY-CHUA-GINOUX SYSTEM
    Hu, Xinhao
    Tang, Yilei
    Wang, Tianyu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
12345