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p-order Feigenbaum's Maps

p-order Feigenbaum's Maps
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摘要 A continuous map f from the unit closed interval into itself is called a p-order Feigenbaum's map if fp(λx) = λf(x),f(O)=1 and f|[λ,1] is univallecular. In this paper, some characterizations of p order Feigenbaum's maps are discussed and the existence for both types of such maps is proven. A continuous map f from the unit closed interval into itself is called a p-order Feigenbaum's map if fp(λx) = λf(x),f(O)=1 and f|[λ,1] is univallecular. In this paper, some characterizations of p order Feigenbaum's maps are discussed and the existence for both types of such maps is proven.
出处 《Northeastern Mathematical Journal》 CSCD 2004年第3期284-290,共7页 东北数学(英文版)
基金 The NNSF (19971035) of China.
关键词 functional equation Feigenbaum's map continuous map functional equation, Feigenbaum's map, continuous map
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参考文献3

  • 1J. -P. Eckmann,H. Epstein,P. Wittwer.Fixed points of Feigenbaum’s type for the equationf p (λx)≡λf(x)[J].Communications in Mathematical Physics.1984(4) 被引量:1
  • 2M. Campanino,H. Epstein.On the existence of Feigenbaum’s fixed point[J].Communications in Mathematical Physics.1981(2) 被引量:1
  • 3P. Collet,J. -P. Eckmann,O. E. Lanford.Universal properties of maps on an interval[J].Communications in Mathematical Physics.1980(3) 被引量:1

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