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 拓扑熵 [tuò pū shāng添加此单词到默认生词本
topological entropy

  1. 此外还得到了区间映射有正拓扑熵的几个等价条件。
    Besides, the paper gets also several equivalent conditions for an interval map with positive topological entropy.
  2. 摘要主要讨论区间映射的链回归点的可链点集与链等价集的关系,证明了:若区间映射的拓扑熵是零,则它的链回归点的可链点集与链等价集相等。
    This paper studies mainly the relation between the set of chainable points and the set of chain equivalent points for the chain recurrent points of an interval map, and obtains that the set of chainable points and the set of chain equivalent points for recurrent points of an interval map are in equivalence if the map has zero topological entropy.
  3. 摘要证明紧度量空间的极小映射以及拓扑熵为零的区间映射不存在具有非零不变概率测度的混沌子集,特别不存在具有非零不变概率测度的序列分布混沌子集。
    In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence-distribution-scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy.



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