TITLE:
N-Expansive Property for Flows
AUTHORS:
Le Huy Tien, Le Duc Nhien
KEYWORDS:
Expansive, Flow, N-Expansive, Shadowing
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.2,
February
26,
2019
ABSTRACT: In this paper, we discuss the
dynamics of n-expansive
homeomorphisms with the shadowing property defined on compact metric spaces in
continuous case. For every n∈N, we exhibit an n-expansive
homeomorphism but not (n-1)-expansive. Furthermore, that flow has the shadowing
property and admits an infinite number of chain-recurrent classes.