RECURRENCE AND LYAPUNOV EXPONENTS

被引：18
|
作者：
Saussol, B. [1 ]
Troubetzkoy, S. [2 ,3 ]
Vaienti, S. [4 ,5 ]
机构：
[1] Univ Picardie Jules Verne, LAMFA CNRS Umr 6140, F-80039 Amiens 1, France
[2] Federat Rech Unites Math Marseille, Inst Math Luminy, Ctr Phys Theor, F-13288 Marseille 9, France
[3] Univ Mediterranee, F-13288 Marseille 9, France
[4] Univ Toulon & Var, Ctr Phys Theor, F-13288 Marseille 9, France
[5] Federat Rech Unites Math Marseille, CNRS Luminy, F-13288 Marseille 9, France
来源：
MOSCOW MATHEMATICAL JOURNAL | 2003年 / 3卷 / 01期
关键词：
Return time; Lyapunov exponents;
D O I：
10.17323/1609-4514-2003-3-1-189-203
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove two inequalities between the Lyapunov exponents of a diffeomorphism and some characteristics of its local recurrence properties. We give examples of linear hyperbolic maps of the torus showing that each of the inequalities is optimal.
引用
收藏
页码：189 / 203
页数：15
相关论文
共 50 条
  • [31] Lyapunov exponents of Teichmuller flows
    Viana, Marcelo
    PARTIALLY HYPERBOLIC DYNAMICS, LAMINATIONS, AND TEICHMULLER FLOW, 2007, 51 : 139 - 201
  • [32] LYAPUNOV EXPONENTS ON METRIC SPACES
    Morales, C. A.
    Thieullen, P.
    Villavicencio, H.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (01) : 153 - 162
  • [33] Nonremovable zero Lyapunov exponents
    Gorodetski, AS
    Ilyashenko, YS
    Kleptsyn, VA
    Nalsky, MB
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2005, 39 (01) : 21 - 30
  • [34] THE LYAPUNOV CHARACTERISTIC EXPONENTS AND APPLICATIONS
    FROESCHLE, C
    JOURNAL DE MECANIQUE THEORIQUE ET APPLIQUEE, 1984, : 101 - 132
  • [35] On Lyapunov Exponents for Cellular Automata
    Courbage, Maurice
    Kaminski, Brunon
    JOURNAL OF CELLULAR AUTOMATA, 2009, 4 (02) : 159 - 168
  • [36] LYAPUNOV EXPONENTS FOR HYDROMAGNETIC CONVECTION
    KURTHS, J
    BRANDENBURG, A
    PHYSICAL REVIEW A, 1991, 44 (06): : R3427 - R3429
  • [37] Lyapunov exponents in Hilbert geometry
    Crampon, Mickael
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2014, 34 : 501 - 533
  • [38] Entropy potential and Lyapunov exponents
    Lepri, S
    Politi, A
    Torcini, A
    CHAOS, 1997, 7 (04) : 701 - 709
  • [39] (Dis)continuity of Lyapunov exponents
    Viana, Marcelo
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (03) : 577 - 611
  • [40] Perturbations with nonpositive Lyapunov exponents
    Barreira, Luis
    Valls, Claudia
    QUAESTIONES MATHEMATICAE, 2023, 46 (08) : 1571 - 1597
12345