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.

引用

页数：11

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