Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions

DOI10.1007/s11425-005-0173-3zbMath1107.37034OpenAlexW1490548581MaRDI QIDQ854654

Ling Qiu, Sheng Jian Wu

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-005-0173-3

zbMATH Keywords

Fatou set

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

Repelling periodic points of given periods of rational functions

Cites Work

• Unnamed Item
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• Iterates of meromorphic functions III: Preperiodic domains
• Repulsive Fixpoints of Analytic Functions with Applications to Complex Dynamics
• Weakly repelling fixpoints and the connectivity of wandering domains
• Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
• A class of meromorphic functions with no wandering domains

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