Article citationsMore>>

Aponte, J. and Villavicencio, H. (2018) Shadowable Points for Flows. Journal of Dynamical and Control Systems, 24, 701-719. arxiv:1706.07335.
https://doi.org/10.1007/s10883-017-9381-8

has been cited by the following article:

• 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.