6 papers
Characterizing idempotent nullnorms on bounded lattices
Xinxing Wu, Shudi Liang, Gül Deniz Çaylı
Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent c…
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…
Uniform chain transitivity and uniform chain mixing properties in uniform hyperspaces
F. Pirfalak, X. Wu, S. A. Ahmadi +1
We introduce and study the topological concepts of chain transitivity, mixing and chain mixing property for dynamical systems induced by uniform hyperspaces. These notions generali…
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.
Relationship among several types of sensitivity in general semi-flows
Xinxing Wu, Xu Zhang
In this paper, we show that there exists a monoid, on which neither the syndetic property nor the dual syndetic property holds, and there exists a strongly mixing semi-flow with th…
On various definitions of shadowing with average error in tracing
Xinxing Wu, Piotr Oprocha, Guanrong Chen
In this paper we present a systematic study of shadowing properties with average error in tracing such as (asymptotic) average shadowing, -shadowing, -…