Connectedness of the Set of Central Lyapunov Exponents

被引：0
|
作者：
Fakhari, Abbas [1 ]
Khalaj, Maryam [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Math, Tehran 19839, Iran
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2024年 / 30卷 / 04期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Homoclinic class; Partially hyperbolic; Lyapunov exponent; C1-generic; HYPERBOLICITY; CRITERION;
D O I：
10.1007/s10883-024-09718-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We show that there is a residual subsetRofDiff1(M)such that for anyf is an element of Rand anypartially hyperbolic homoclinic classH(p,f)with one-dimensional central direction, theset of central Lyapunov exponents associated with the ergodic measure with either full supportor positive entropy is an interval.
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页数：11
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