N-Expansive Property for Flows - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.2, February 2019

N-Expansive Property for Flows ()

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DOI: 10.4236/jamp.2019.72031 547 Downloads 969 Views

Author(s)

Le Huy Tien, Le Duc Nhien

Affiliation(s)

Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, Hanoi, Vietnam.

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.

KEYWORDS

Expansive, Flow, N-Expansive, Shadowing

Share and Cite:

Tien, L. and Nhien, L. (2019) N-Expansive Property for Flows. Journal of Applied Mathematics and Physics, 7, 410-417. doi: 10.4236/jamp.2019.72031.

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