Cayley’s problem and Julia sets
Copyright policy )Cayley’s problem and Julia sets
The goal of this exposition is to give a flavor of the subject of Julia Sets which we trace back to a problem posed by \textit{A. Cayley} [Am. J. Math. 2, 97 (1879)]. Our computer graphics not only illustrated the beauty that can be found in Julia sets, but they also provided us with insight that led us to some new results. In this exposition we can give only a short introduction; in fact, this is an excerpt from a longer article entitled ''Newton's method and Julia sets'' [Univ. Bremen, Forschungsschwerpunkt ''Dynamische Systeme'', Rep. No.104 (1983)] which contains more of the background mathematics.
- University of Bremen Germany
Computing methodologies and applications, experimental mathematics, computer graphics, Numerical computation of solutions to systems of equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Julia Sets
Computing methodologies and applications, experimental mathematics, computer graphics, Numerical computation of solutions to systems of equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Julia Sets
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