Julia sets of cubic rational maps with escaping critical points

DOI10.1007/S40598-020-00146-8zbMath1485.37044OpenAlexW3041342383WikidataQ121789246 ScholiaQ121789246MaRDI QIDQ823790

N. E. Zubov

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-020-00146-8

zbMATH Keywords

Julia setCantor setFatou setSierpinski curve

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Critical orbits for holomorphic dynamical systems (37F12)

Related Items (1)

Cubic rational maps with escaping critical points. I: Julia set dichotomy in the case of an attracting fixed point

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Dynamics of regularly ramified rational maps. I: Julia sets of maps in one-parameter families
• On Rational Maps with Two Critical Points
• Julia sets of subhyperbolic rational functions
• On the dynamics of generalized McMullen maps
• Topological characterization of the Sierpiński curve
• The escape trichotomy for singularly perturbed rational maps
• On the quasiconformal surgery of rational functions
• Trees associated with the configuration of Herman rings

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