A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 38-43.

A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

廖公夫

Dept. of Math., Jinn Univ., Changchun 130023, China

收稿日期:1991-07-25 修回日期:1994-04-09 出版日期:1996-03-25 发布日期:1996-03-25
基金资助:
Project supported by the National Natural Science Fundation of China.

A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

Liao Gongfu

Dept. of Math., Jinn Univ., Changchun 130023, China

Received:1991-07-25 Revised:1994-04-09 Online:1996-03-25 Published:1996-03-25
Supported by:
Project supported by the National Natural Science Fundation of China.

摘要/Abstract

摘要： Let f be a continuous anti-unimodal solution of a p-order Feigenbaum's functional equation.A criterion is given to determine whether or not the topological entropy of f is zero.And a continuous anti-unimodal solution of 4-order equation with positive topological eotropy is constructed.

关键词: Feigenbaum's functional equation, Anti-unimodal solution, Topological entropy

Abstract: Let f be a continuous anti-unimodal solution of a p-order Feigenbaum's functional equation.A criterion is given to determine whether or not the topological entropy of f is zero.And a continuous anti-unimodal solution of 4-order equation with positive topological eotropy is constructed.

Key words: Feigenbaum's functional equation, Anti-unimodal solution, Topological entropy

廖公夫. A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0[J]. 数学物理学报(英文版), 1996, 16(1): 38-43.

Liao Gongfu. A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0[J]. Acta mathematica scientia,Series B, 1996, 16(1): 38-43.

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A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

A CHARACTERIZATION OF THE SOLUTIONS OF p-ORDER FEIGENBAUM'S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

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