Singular perturbations in the quadratic family

DOI10.1080/10236190701702429zbMath1193.37061OpenAlexW2098323878MaRDI QIDQ3510037

Sebastian M. Marotta

Publication date: 26 June 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701702429

zbMATH Keywords

Julia setssingular perturbationsquadratic familycomplex mapscomplex rational maps

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 (5)

Julia sets as buried Julia components ⋮ Singular perturbations in the quadratic family with multiple poles ⋮ Julia sets converging to filled quadratic Julia sets ⋮ Singular perturbations of complex polynomials ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0}

Cites Work

• The escape trichotomy for singularly perturbed rational maps
• The McMullen domain: Rings around the boundary
• Julia sets converging to the unit disk
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)
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