Shadowable Point for Non-Autonomous Discrete Dynamical Systems

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
2019 Journal of Advances in Applied Mathematics  
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.
doi:10.22606/jaam.2019.43003 fatcat:jd4lm5dzuzacte25x5o43rl4ci