Super-attracting cycles for the cosine-root family
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
Chaos, Solitons and Fractals
Brown, D. A. and Halstead, M. L., "Super-attracting cycles for the cosine-root family" (2007). Faculty Articles Indexed in Scopus. 1779.