2 papers
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…
math.DS2016
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…