Almost shift invariant set and distributional chaos in a sequence

作者：Wang Lidong^*; Wang Na; Chu Zhenyan

来源：International Journal of Innovative Computing Information and Control, 2008, 4(8): 1853-1859.

• almost shift invariant set
• distributional chaos in a sequence
• weakly almost periodic points

Let (X, rho) be a compact metric space, f : X -> X is continuous. Denote the sets of almost periodic points and weakly almost periodic points of f by A(.) and W(.) respectively. In this paper, we prove that f has an uncountably distributively chaotic set in a sequence, in which each point is weakly almost periodic, if f has an almost shift invariant set.

• 出版日期2008-8
• 单位大连民族大学; 辽宁师范大学