6 papers · 1 filter
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.
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…
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…
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…
A note on the sensitivity of semiows
Xinxing Wu, Xin Ma, Guanrong Chen +1
In this note, it is shown that there exist two non-syndetically sensitive cascades defined on complete metric spaces whose product is syndetically sensitive, answering negatively t…
Sensitive dependence and transitivity of fuzzified dynamical systems
Xinxing Wu, Xiong Wang, Guanrong Chen
This paper proves that a set-valued dynamical system is sensitively dependent on initial conditions (resp., -sensitive, multi-sensitive) if and only if its -fuzzifi…