4 citations · 7 across the 3 of their papers we have counts for
4 papers
Analogues of Auslander-Yorke theorems for multi-sensitivity
Wen Huang, Sergii Kolyada, Guohua Zhang
In this paper we study multi-sensitivity and thick sensitivity for continuous surjective selfmaps on compact metric spaces. We show that multi-sensitivity implies thick sensitivity…
Dynamical compactness and sensitivity
Wen Huang, Danylo Khilko, Sergii Kolyada +1
To link the Auslander point dynamics property with topological transitivity, in this paper we introduce dynamically compact systems as a new concept of a chaotic dynamical system $…
Auslander-Yorke dichotomy theorem, multi-sensitivity and Lyapunov numbers
Wen Huang, Sergii Kolyada, Guohua Zhang
In this paper we study several stronger forms of sensitivity for continuous surjective selfmaps on compact metric spaces and relations between them. The main result of the paper st…
Minimal sets of fibre-preserving maps in graph bundles
Sergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk
Topological structure of minimal sets is studied for a dynamical system given by a fibre-preserving, in general non-invertible, continuous selfmap of a graph bundle …