Existence of periodic orbits and horseshoes for semiflows on a separable Banach space

被引：0
|
作者：
Xiao Ma
机构：
[1] University of Science and Technology of China,CAS Wu Wen
来源：
Calculus of Variations and Partial Differential Equations | 2022年 / 61卷
关键词：
Primary: 37C05; 37D25; Secondary 37C15;
D O I：
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中图分类号：
学科分类号：
摘要：
For smooth semiflows on separable Banach spaces with invariant, ergodic, Borel probability measures, we prove the existence of periodic orbits and horseshoes under assumption of positive measure-theoretic entropy. This is an extension of Lian and Young’s work for semiflows on Hilbert spaces to Banach spaces.
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