一类非本原代换系统的拓扑熵与混沌

Topological Entropy and Chaos for a Class of Non-primitive Substitution Systems

令f表示由符号集{0,1}上非本原且非等长代换诱导的系统.考虑f的拓扑熵及发生混沌性态的可能性,证明了f的拓扑熵为零,并给出了f不含分布混沌对的充分条件.

Let f denote a system induced by a non-primitive and non-constant-length substitution over the alphabet {0, 1}. We investigated the topological entropy of f and the possibilities for f to occur chaotic behaviors and proved that the topological entropy off is zero, and gave a sufficient condition forfto contain no distributively chaotic pairs.