Fatou components and Julia sets of singularly perturbed rational maps with positive parameter

DOI10.1007/s10114-012-0586-1zbMath1333.37057OpenAlexW1972618475WikidataQ122421750 ScholiaQ122421750MaRDI QIDQ1928118

Lan Xie, Yongcheng Yin, Wei-Yuan Qiu

Publication date: 2 January 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0586-1

zbMATH Keywords

Julia setlocal connectivityFatou componentJordan domainSierpiński curve

Mathematics Subject Classification ID

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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (2)

Quasisymmetric geometry of Sierpiński carpet Julia sets ⋮ Quasisymmetric geometry of the Julia sets of McMullen maps

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