一类非本原代换诱导的超空间系统

Hyperspace System Induced by a Class of Non-primitive Substitution

考虑具有两个符号等长的非本原代换诱导的超空间系统的Li-Yorke混沌性,利用该代换系统存在Li-Yorke混沌集的条件,进一步得出了其诱导的超空间系统存在Li-Yorke混沌集和不存在Li-Yorke混沌集的条件.

We discussed Li-Yorke chaotic properties for hyperspace systems induced by non-primitive substitutions on two symbols.With the help of the conditions of containing Li-Yorke chaotic sets in the substitution system,we obtained the conditions for the hyperspace systems to contain Li-Yorke chaotic sets and not to contain Li-Yorke chaotic sets.