Journal of applied mathematics & informatics

  • 제4권1호
  • /
  • Pages.31-38
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

SOME CUBIC JULIA SETS

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

⟨ 이전 논문 다음 논문 ⟩

초록

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 $J_{\alpha}$.

키워드

참고문헌

  1. Nonlinearity v.7 A remark on the shape of quadratic Julia sets A.F.Beardon;D.J.Rippon
  2. Acta Math. v.160 The interation of cubic polynomials B.Brammer;J.H. Hubbard
  3. Acta Math. v.169 The iteration of cubic polynomials B.Brammer;J.H Hubbard
  4. Ark. Math. v.6 Invariant sets under iteration of rational function H.Brolin
  5. Complex Dynamics Lennart Carleson;Theodore W. Gamelin
  6. A first course in choatic dynamical systems (Theory and Experiment) Robert L. Devaney