Title

Super-attracting cycles for the cosine-root family

Document Type

Article

Publication Date

3-1-2007

Abstract

We investigate the dynamics of the cosine-root family, C (z) = λ cos sqrt(z), where λ ∈ C. When λ ∈ R, we focus on the distribution of super-attracting cycles associated to the two critical values. In particular, we locate the parameters leading to super-attracting three cycles for one of the critical values while the other critical value is attracted to a fixed point. These results are used to verify observations made upon viewing Julia and parameter plane pictures. © 2005 Elsevier Ltd. All rights reserved. λ

Publication Name

Chaos, Solitons and Fractals

Volume Number

31

First Page

1191

Last Page

1202

Issue Number

5

DOI

10.1016/j.chaos.2005.10.108

This document is currently not available here.

Share

COinS