Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590215 | Journal of Functional Analysis | 2014 | 18 Pages |
Abstract
It is shown that in a topological dynamical system with positive entropy, there is a measure-theoretically “rather big” set such that a multivariant version of mean Li–Yorke chaos happens on the closure of the stable or unstable set of any point from the set. It is also proved that the intersections of the sets of asymptotic tuples and mean Li–Yorke tuples with the set of topological entropy tuples are dense in the set of topological entropy tuples respectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wen Huang, Jian Li, Xiangdong Ye,