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DETERMINATION OF THE TOPOLOGICAL ENTROPY OF ONE-DIMENSIONAL MAPS BY THE INVERSE ORBITS ANALYSIS

CHEN RUI-XIONG

DETERMINATION OF THE TOPOLOGICAL ENTROPY OF ONE-DIMENSIONAL MAPS BY THE INVERSE ORBITS ANALYSIS

CHEN RUI-XIONG
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  • Received Date:  14 November 1988
  • Published Online:  08 July 2005

DETERMINATION OF THE TOPOLOGICAL ENTROPY OF ONE-DIMENSIONAL MAPS BY THE INVERSE ORBITS ANALYSIS

  • 1. 广西师范大学物理系

Abstract: We generalize the resuits of ref. [1] , expplain the proof of the formulae shown in this paper by the method of the inverse orbits analysis. According to this, we can calculate the value of the topological entropy on any point in the whole parameter interval. On the basis of discussing the effect of "*" product on the topological entropy, we obtain the overview of the topological entropy of one-dimensional maps.

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