user

Solution bounds of generalized Lorenz chaotic systems

被引：24
|
作者：
Sun, Yeong-Jeu [1 ]
机构：
[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 02期
关键词：
CHENS SYSTEM; SYNCHRONIZATION; DESIGN; FEEDBACK; BIFURCATION; CONTROLLER; STABILITY;
D O I：
10.1016/j.chaos.2007.08.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the generalized Lorenz chaotic system is considered and the solution bounds of such a system are investigated. Based oil the time-domain approach, the upper solution bound and lower solution bound of the generalized Lorenz chaotic system are proposed. Finally, a numerical example is provided to illustrate the use of the main result. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：691 / 696
页数：6
相关论文
共 50 条
  • [1] Estimating the bounds for the Lorenz family of chaotic systems
    Li, DM
    Lu, JA
    Wu, XQ
    Chen, GR
    CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 529 - 534
  • [2] On a generalized Lorenz canonical form of chaotic systems
    Celikovsky, S
    Chen, GR
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08): : 1789 - 1812
  • [3] Optimal Fuzzy Synchronization of Generalized Lorenz Chaotic Systems
    Pourkargar, Davood Babaei
    Shahrokhi, Mohammad
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2011, 2 (01): : 27 - 36
  • [4] A simple observer design of the generalized Lorenz chaotic systems
    Sun, Yeong-Jeu
    PHYSICS LETTERS A, 2010, 374 (07) : 933 - 937
  • [5] Bounds for the chaotic region in the Lorenz model
    Barrio, Roberto
    Serrano, Sergio
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (16) : 1615 - 1624
  • [6] H∞ Stabilization of Fuzzy Model Based Generalized Lorenz Chaotic Systems
    Chuang, Chun-Fu
    Wang, Wen-June
    Chen, Ying-Jen
    IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2010), 2010,
  • [7] Reduced-order observer design for the synchronization of the generalized Lorenz chaotic systems
    Zhang, Zhengqiang
    Shao, Hanyong
    Wang, Zhen
    Shen, Hao
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (14) : 7614 - 7621
  • [8] 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
  • [9] Chaotic Saddles in a Generalized Lorenz Model of Magnetoconvection
    Franco, Francis F.
    Rempel, Erico L.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (12):
  • [10] Periodic and chaotic solutions of the generalized Lorenz equations
    Yu, MY
    Yang, B
    PHYSICA SCRIPTA, 1996, 54 (02): : 140 - 142
12345