Fractal Dimension of Julia Set for Nonanalytic Maps

    loading  Checking for direct PDF access through Ovid

Abstract

The Hausdorff dimensions of the Julia sets for nonanalytic maps f(z) = z2+εz* and f(z)= z*2+ε are calculated perturbatively for small ε. It is shown that Ruelle's formula for the Hausdorff dimensions of analytic maps cannot be generalized to nonanalytic maps.

Related Topics

    loading  Loading Related Articles