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math.GN2019

Some Properties of Recurrent Sets for Endomorphisms of Topological Groups

Seyyed Alireza Ahmadi, Javad Jamalzadeh, Xinxing Wu

This paper studies topological definitions of chain recurrence and shadowing for continuous endomorphisms of topological groups generalizing the relevant concepts for metric spaces…

math.DS2019

Mixing properties of maps with uniform shadowing property in uniform spaces

Seyyed Alireza Ahmadi, Xinxing Wu, Guanrong Chen

In this note we study some properties of topological entropy for noncompact non-metrizable spaces.

math.DS2019

Answering two open problems on Banks theorem for non-autonomous dynamical systems

Xinxing Wu, Guanrong Chen

This paper shows that (1) there exists a topologically transitive NADS having two disjoint invariant periodic orbits with dense periodic points, which is finitely generated but not…

math.GM2019

Answering An Open Problem on -Norms for Type-2 Fuzzy Sets

Xinxing Wu, Guanrong Chen

This paper proves that a binary operation on , ensuring that the binary operation is a -norm or is a -conorm, is a

math.GM2019

On the Existence of -Norm and -Conorm not in Convolution Form

Xinxing Wu, Guanrong Chen

This paper constructs a -norm and a -conorm on the set of all normal and convex functions from to , which are not obtained by using the following…

math.DS2019

Invariance of distributional chaos for backward shifts

Xinxing Wu, Yang Luo

A sufficient and necessary condition ensuring that the backward shift operator on the Köthe sequence space admits an invariant distributionally -scrambled set for some…