Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 38-43.

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

Liao Gongfu   

  1. 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.

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

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