On connectivity of Fatou components concerning a family of rational maps

DOI10.1155/2014/621312zbMath1474.37044OpenAlexW1972900710WikidataQ59040044 ScholiaQ59040044MaRDI QIDQ1724552

Xianqiang Yang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/621312

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)

Related Items (1)

Singular perturbations of Blaschke products and connectivity of Fatou components

Cites Work

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• Rational maps with Fatou components of arbitrary connectivity number
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Iterates of meromorphic functions III: Preperiodic domains
• Iterations of rational functions: which hyperbolic components contain polynomials?
• Dynamics in One Complex Variable. (AM-160)

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