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

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

作者廖公夫

出处《Acta Mathematica Scientia》 SCIE CSCD 1996年第1期38-43,共6页 数学物理学报（B辑英文版）

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

分类号 O174 [理学—数学]

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Acta Mathematica Scientia

1996年第1期

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

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