On the trapping region of the trajectories of chaotic Lorenz-type system

被引:0
作者
Sun Fengyun [1 ]
Zhao Yi [1 ]
机构
[1] Zhongshan Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2 | 2007年
关键词
Lyapunov function; Lorenz-type system; boundedness of solution;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, it is shown that all solutions of the chaotic system are contained in a trapping region. For the typical parameters values that the chaotic attractor is bounded is displayed. By constructing a suitable Lyapunov function, we show that for the system parameters in some specified regions, the solutions of the chaotic system are globally bounded. http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4347297
引用
收藏
页码:147 / +
页数:2
相关论文
共 12 条
  • [1] On a generalized Lorenz canonical form of chaotic systems
    Celikovsky, S
    Chen, GR
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08): : 1789 - 1812
  • [2] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [3] Estimating the bounds for the Lorenz family of chaotic systems
    Li, DM
    Lu, JA
    Wu, XQ
    Chen, GR
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (02) : 529 - 534
  • [4] The chaotic region of Lorenz-type system in the parametric space
    Liao, HH
    Zhou, TS
    Tang, Y
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 21 (01) : 185 - 192
  • [5] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
  • [6] 2
  • [7] A new chaotic attractor coined
    Lü, JH
    Chen, GR
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03): : 659 - 661
  • [8] An ultimate bound on the trajectories of the Lorenz system and its applications
    Pogromsky, AY
    Santoboni, G
    Nijmeijer, H
    [J]. NONLINEARITY, 2003, 16 (05) : 1597 - 1605
  • [9] On the boundedness of solutions of the Chen system
    Qin, Wen-Xin
    Chen, Guanrong
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 445 - 451
  • [10] Sparrow C., 1982, LORENZ EQUATIONS BIF