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Topological complexity of Julia sets 被引量:3

Topological complexity of Julia sets
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摘要 The topological structures of the Julia sets of rational and entire functions have been investigated and the complexity of the Julia sets of rational functions has been described.For entire functions,it is proved that the dynamics on the Fatou sets will influence the topological complexity of Julia sets. The topological structures of the Julia sets of rational and entire functions have been investigated and the complexity of the Julia sets of rational functions has been described.For entire functions,it is proved that the dynamics on the Fatou sets will influence the topological complexity of Julia sets.
作者 乔建永
出处 《Science China Mathematics》 SCIE 1997年第11期1158-1165,共0页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 RATIONAL FUNCTION entire FUNCTION ITERATION Julia set. rational function,entire function,iteration,Julia set.
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同被引文献13

  • 1WANG XiaoGuang 1,QIU WeiYuan 1 , YIN YongCheng 1 , QIAO JianYong 2 & GAO JunYang 2 1 School of Mathematical Sciences, Fudan University, Shanghai 200433, China,2 Center of Mathematics, China University of Mining and Technology, Beijing 100083, China.Connectivity of the Mandelbrot set for the family of renormalization transformations[J].Science China Mathematics,2010,53(3):849-862. 被引量:3
  • 2乔建永.The Julia Set of the Mapping z→zexp(z+μ)[J].Chinese Science Bulletin,1994,39(7):529-533. 被引量:2
  • 3Walter Bergweiler,Yuefei Wang.On the dynamics of composite entire functions[J]. Arkiv f?r matematik . 1998 (1)
  • 4Jianyong Qiao.Topological complexity of Julia sets[J]. Science in China Series A: Mathematics . 1997 (11)
  • 5Goldberg L R,Keen L.A F(?)niteness Theorem for a Dynamical Class of Entire Functions. Erg Th Dyn Sys . 1986
  • 6Bergweiler,W.,Wang,Y.-fei.On the dynamics of composite entire functions. Arkiv f?r Matematik . 1998
  • 7Sullivan,D.Quasiconformal homeomorphisms and dynamics, Ann. Mathematica Journal . 1985
  • 8J. Milnor.Dynamics One Complex Variable. . 1990
  • 9NEVANLINNA R.Analytic Functions. . 1970
  • 10Baker,I. N.An entire function which has wandering domains, J. Australian Mathematical Society Gazette . 1976

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