两个符号的等长代换子系统的混沌性态

Chaos for the Subsystems from Substitutions of Constant Length on Two Symbols

本文研究了由两个符号的等长代换生成的子系统的混沌性态．通过分类研究，我们得到：（1）非奇异代换系统不是Li－Yorke混沌的，作为特例，Morse极小系统不是混沌的；（2）奇异代换子系统都是Li－Yorke混沌的．

In this paper, we consider chaos for the subsystems arising from substitutions of constant length on two symbols. We get the following results: (1) the subsystems from nonsingular substitutions of constant length are not Li-Yorke chaos; (2) the sub systems from singular substitutions of constant length axe Li-Yorke chaos.