On the bound of the Lyapunov exponents for continuous systems

被引：21
|
作者：
Li, CP [1 ]
Xia, XH
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
[2] Univ Pretoria, Dept Elect Elect & Comp Engn, ZA-0002 Pretoria, South Africa
来源：
CHAOS | 2004年 / 14卷 / 03期
关键词：
D O I：
10.1063/1.1768911
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, both upper bounds and lower bounds for all the Lyapunov exponents of continuous differential systems are determined. Several examples are given to show the application of the estimates derived here. (C) 2004 American Institute of Physics.
引用
收藏
页码：557 / 561
页数：5
相关论文
共 50 条
  • [41] Scaling of Lyapunov exponents of coupled chaotic systems
    Zillmer, R
    Ahlers, V
    Pikovsky, A
    PHYSICAL REVIEW E, 2000, 61 (01): : 332 - 341
  • [42] LYAPUNOV EXPONENTS OF STOCHASTIC DYNAMICAL-SYSTEMS
    MARTIN, O
    JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (1-2) : 249 - 261
  • [43] UNIVERSAL BEHAVIOR OF LYAPUNOV EXPONENTS IN UNSTABLE SYSTEMS
    BONASERA, A
    LATORA, V
    RAPISARDA, A
    PHYSICAL REVIEW LETTERS, 1995, 75 (19) : 3434 - 3437
  • [44] The Lyapunov exponents in the dynamics of triple star systems
    A. V. Mel’nikov
    V. V. Orlov
    I. I. Shevchenko
    Astronomy Reports, 2013, 57 : 429 - 439
  • [45] LYAPUNOV EXPONENTS OF SYSTEMS WITH ELASTIC HARD COLLISIONS
    DELLAGO, C
    POSCH, HA
    PHYSICAL REVIEW E, 1995, 52 (03) : 2401 - 2406
  • [46] The Lyapunov exponents in the dynamics of triple star systems
    Mel'nikov, A. V.
    Orlov, V. V.
    Shevchenko, I. I.
    ASTRONOMY REPORTS, 2013, 57 (06) : 429 - 439
  • [47] Lyapunov exponents of systems evolving on quadratic groups
    Dieci, L
    Lopez, L
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (04) : 1175 - 1185
  • [48] Scaling of Lyapunov exponents of coupled chaotic systems
    Department of Physics, University of Potsdam, Postfach 601553, Potsdam
    D-14415, Germany
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (01): : 332 - 341
  • [49] Determinating lyapunov exponents in deterministic dynamical systems
    Delecroix, M
    Guegan, D
    Leorat, G
    COMPUTATIONAL STATISTICS, 1997, 12 (01) : 93 - 107
  • [50] Maximal Lyapunov exponents of linear gyroscopic systems
    Nolan, VJ
    Namachchivaya, NS
    STOCHASTIC STRUCTURAL DYNAMICS, 1999, : 329 - 336
12345