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
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