Observations on the dynamics of the complex cosine-root family

DOI10.1080/10236199808808139zbMath0930.37024OpenAlexW1983766158MaRDI QIDQ4211789

Marilyn B. Durkin

Publication date: 15 December 1998

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808139

zbMATH Keywords

Julia setcritical valuebifurcation setcomplex dynamical systemschaotic orbits

Mathematics Subject Classification ID

Related Items (2)

Super-attracting cycles for the cosine-root family ⋮ The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Chaotic Bursts in Nonlinear Dynamical Systems
• Complex analytic dynamics on the Riemann sphere
• Dynamics of entire functions near the essential singularity
• A finiteness theorem for a dynamical class of entire functions
• On iterates of e^z
• The Exploding Exponential and Other Chaotic Bursts in Complex Dynamics
• THE ACCURACY OF COMPUTER ALGORITHMS IN DYNAMICAL SYSTEMS

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