Supported by the National Natural Science Foundation of China(Grant Nos.12061043,11661054,11261039)。
The authors introduce the concepts of the eventual shadowing property and eventually shadowable point for set-valued dynamical systems and prove that a set-valued dynamical system has the eventual shadowing property i...
Supported by the National Natural Science Foundation of China(Grant Nos.11661054,11261039)。
In this article,the authors introduce the concept of shadowable points for set-valued dynamical systems,the pointwise version of the shadowing property,and prove that a set-valued dynamical system has the shadowing pr...
Supported by the National Natural Science Foundation of China(Grant Nos.11661054 and 11261039)
The purpose of this paper is to show that for one-sided symbolic systems,there exists an uncountable distributionally scrambled set contained in the set of proper positive upper Banach density recurrent points.
Supported by National Natural Science Foundation of China(Grant No.11261039);National Natural Science Foundation of Jiangxi Province(Grant No.20132BAB201009)
The relation among transitivity, indecomposability and Z-transitivity is discussed. It is shown that for a non-wandering system (each point is non-wandering), indecomposability is equivalent to transitivity, and for...
Supported by National Natural Science Foundation of China(Grant No.11261039);National Natural Science Foundation of Jiangxi Province(Grant No.20132BAB201009);the Innovation Fund Designated for Graduate Students of Jiangxi Province
Recently, He et al. [On quasi-weakly almost periodic points. Sci. China Math., 56, 597- 606 (2013)] constructed two binary sub-shifts to solve an open problem posed by Zhou and Feng in [Twelve open problems on the e...