Geometric limit of Julia set of a family of rational functions with odd degree

DOI10.1080/14689367.2021.1993145zbMath1485.37046OpenAlexW3209533109WikidataQ122494116 ScholiaQ122494116MaRDI QIDQ5014343

B. P. Silva e Silva, Mostafa Salarinoghabi, Alexandre Miranda Alves

Publication date: 2 December 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2021.1993145

zbMATH Keywords

connectednessJulia setcomplex dynamicsrational mapsgeometric limits

Mathematics Subject Classification ID

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) Geometric limits in holomorphic dynamics (37F40)

Related Items (1)

Geometric limits of mixed families

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Complex dynamics
• Connectedness of Julia sets of rational functions
• The escape trichotomy for singularly perturbed rational maps
• On the dynamics of n-circle inversion
• GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
• Geometric limits of Julia  sets and connectedness locus of the family of polynomials P_c(z) = zⁿ + cz^k
• Dynamics in One Complex Variable. (AM-160)

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