TOPOLOGICAL ENTROPY FOR ANOSOV MAPS  

TOPOLOGICAL ENTROPY FOR ANOSOV MAPS

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作  者:孙文祥 

机构地区:[1]Department of Mathematics. Hebei Normal College, Shijiazhuang 050091, PRC

出  处:《Chinese Science Bulletin》1991年第23期1948-1952,共5页

摘  要:Seeking conjugate invariant is one of significant and general topics on dynamical systems. Few invariants have been found so far. Topological entropy is one of such invariants. Studies about the topological entropy are concentrated on areas of homeomorphisms and one-dimensional continuous self-maps. In this note we consider Anosov maps, a sort of continuous maps on general compact metric spaces. By using a finite subshift and the largest positive eigenvalue we will calculate the topological entropy for Anosov maps.

关 键 词:MARKOV PARTITION finite SUBSHIFT TOPOLOGICAL ENTROPY 

分 类 号:N[自然科学总论]

 

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