Lyapunov Exponents and Invariant Measures on a Projective Bundle

被引：2
|
作者：
Osipenko, G. S. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2017年 / 101卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
Morse spectrum; chain-recurrent set; projective bundle; invariant measure; symbolic image; flow on a graph; averaging with respect to a measure;
D O I：
10.1134/S0001434617030245
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A discrete dynamical system generated by a diffeomorphism f on a compact manifold is considered. The Morse spectrum is the limit set of Lyapunov exponents of periodic pseudotra-jectories. It is proved that the Morse spectrum coincides with the set of averagings of the function phi(x, e) - ln |Df(x)e| over the invariant measures of the mapping induced by the differential Df on the projective bundle.
引用
收藏
页码：666 / 676
页数：11
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