中文摘要：

设X是一个紧致度量空间,f：X→X是一个连续映射,（X,f）是熵极小的.该文首先证明了f是强遍历的;另外,如果还假设X中存在f的一个真的（拟）弱几乎周期点,则得到f具有正拓扑熵且对任意的n〉1,f～n是遍历敏感依赖的.因此,f在Li-Yorke和Takens-Ruelle意义下是混沌的.该文所得结论改进和推广了最近的一些结论.

英文摘要：

Let X be a compact metric space and f：X → X be a continuous map.In this paper,we prove that f is strongly ergodic if f is entropy-minimal.In addition,we show that f has positive topological entropy and f～n is ergodically sensitive for any n 1 if there exists a proper（quasi） weakly almost periodic point of f,hence f is chaotic in the sense of Li-Yorke and Takens-Ruelle.The presented results improve and generalize some recent results.