Chaos and graphics
Julia set art and fractals in the complex plane

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Abstract

In this paper, computer graphics is used to explore the dynamical behaviour of the Julia sets and related iterated sets derived by using alternative divergence tests.

References (15)

  • C.A. Pickover

    Computer graphics generated from the iteration of algebraic transformations in the complex plane

    Comp. & Graphics

    (1985)
  • P. Fatou

    Sur l'iteration des fonctions transcendantes entieres

    Acta Math

    (1926)
  • G. Julia

    Iteration des applications fonctionnelles

    J. Math. Pures Appl.

    (1918)
  • B. Mandelbrot

    The Fractal Geometry of Nature

    (1982)
  • P. Fisher et al.

    Chaos. Fractals and Dynamics

    (1985)
  • G. Taubes

    The mathematics of chaos

    Discover Magazine

    (1984)
  • A. Douady et al.

    Iterations des polynomes quadratiques complexes

    Compte Rendus (Paris)

    (1982)
There are more references available in the full text version of this article.

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