Journal of Advances in Applied Mathematics

Download PDF (240.3 KB) PP. 112 - 118 Pub. Date: July 1, 2019

DOI: 10.22606/jaam.2019.43003

• Le Huy Tien^*
  Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam
• Le Duc Nhien
  Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, 334 Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam

The purpose of this paper is to study about the set of shadowable points of nonautonomous dynamical systems (X, {fn}n∈Z) where X is a metric space and fn is a homeomorphism for all n ∈ Z. In particular, we would like to show that X is totally disconnected for every shadowable and almost periodic points with a standard condition. Moreover, if {fn}n∈Z is equi-continuous then we have converse of the previous property.

Shadowable point, homeomorphism, metric space, non-autonomous systems.

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