C-半群的超循环与混沌性

Hypercyclic and chaotic of C-semigroup

在可分的Banach空间X上C-半群T(t)是有界的假设下,研究C-半群T(t)的超循环与混沌性,得到了C-半群T(t)是超循环的充分必要条件;且分别给出了易于判断C-半群T(t)是超循环的、混沌的充分条件.

Let T(t) be a bounded C-semigroup on a separable Banach space X, we investigate hypercyclic and chaotic behaviors of C-semigroup T(t). We give necessary and sufficient conditions to the C-semigroup T(i) to be hypercyclic, and sufficent conditions to hypercyclic and chaotic of C-semigroup which is an easy judgment