Open AccessDETERMINATION OF THE TOPOLOGICAL ENTROPY OF ONE-DIMENSIONAL MAPS BY THE INVERSE ORBITS ANALYSIS
Author(s) -
Chen Rui-Xiong
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.1501
Subject(s) - topological entropy , inverse , topological entropy in physics , entropy (arrow of time) , principle of maximum entropy , topological quantum number , topology (electrical circuits) , physics , statistical physics , mathematics , pure mathematics , combinatorics , quantum mechanics , statistics , geometry
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.