1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2020★ 1 cited
Takens-type reconstruction theorems of one-sided dynamical systems on compact metric spaces
Hisao Kato
The reconstruction theorem deals with dynamical systems that are given by a map of a compact metric space together with an observable from to the re…
math.DS2017
Topological entropy and IE-tuples of indecomposable continua
Hisao Kato
In this paper, we define a new notion of "freely tracing property by free chains" on -like continua and we prove that a positive topological entropy homeomorphism on a -like…
math.DS2015
Chaos and Indecomposability
Udayan B. Darji, Hisao Kato
We use recent developments in local entropy theory to prove that chaos in dynamical systems implies the existence of complicated structure in the underlying space. Earlier Mouron p…