Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOME CUBIC JULIA SETS

  • Lee, Hung-Hwan (Deparment of Mathematics Kyungpook National University) ;
  • Baek, Hun-Ki (Deparment of Mathematics Kyungpook National University)
  • Published : 1997.03.01

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Abstract

We figure out geometric properties of the Julia set $J_{\alpha}$ of cubic complex polynomial $C_{\alpha}(z)=z^3 + {\alpha}z(\alpha \epsilon \mathbb{C})$ and the smallest ellipse which surrounds $J_{\alpha}$.

Keywords

References

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  4. Ark. Math. v.6 Invariant sets under iteration of rational function H.Brolin
  5. Complex Dynamics Lennart Carleson;Theodore W. Gamelin
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