LIMITING JULIA SETS FOR SINGULARLY PERTURBED RATIONAL MAPS

DOI10.1142/S0218127408022342zbMath1165.37324OpenAlexW2104352226WikidataQ121275006 ScholiaQ121275006MaRDI QIDQ5322571

Mark Morabito, Robert L. Devaney

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127408022342

zbMATH Keywords

Julia setcomplex dynamicsrational map

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)

Related Items (8)

CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ Quasi-sine Fibonacci M set with perturbation ⋮ On the dynamics of n-circle inversion ⋮ Julia sets converging to filled quadratic Julia sets ⋮ Rational maps with Fatou components of arbitrarily large connectivity ⋮ Singular perturbations of Blaschke products and connectivity of Fatou components ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS OF THE COMPLEX PERTURBED RATIONAL MAPS ⋮ Singular perturbations of complex polynomials

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• The escape trichotomy for singularly perturbed rational maps
• Geometry and Dynamics of Quadratic Rational Maps
• SINGULAR PERTURBATIONS OF QUADRATIC MAPS
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)
• Unnamed Item

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