Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THE EXTENDED REAL LINE AS A JULIA SET

  • Received : 2013.12.25
  • Published : 2015.07.31
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Abstract

A recursive family $\{F_n\}$ of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of $F_n$ is computed. Finally this family as a real recursive family is studied and it is shown that $F_n$ is chaotic on a specific subset of $\mathbb{R}$.

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References

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