Super-attracting cycles for the cosine-root family

DOI10.1016/J.CHAOS.2005.10.108zbMath1140.37334OpenAlexW2135765371MaRDI QIDQ2482602

David A. Brown, M. L. Halstead

Publication date: 17 April 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.108

zbMATH Keywords

fixed pointJulia setsrational functionscritical valuessaddle-mode bifurcationsbasis of attraction

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (1)

On probabilistic Mandelbrot maps

Cites Work

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• STRUCTURE OF THE CUBIC MAPPINGS
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• On the Julia sets of a noise-perturbed Mandelbrot map

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