Singular perturbations in the quadratic family with multiple poles

DOI10.1080/10236198.2011.630668zbMath1333.37026OpenAlexW2143911778MaRDI QIDQ4908674

Sebastian M. Marotta, Antonio Garijo, Elizabeth D. Russell

Publication date: 6 March 2013

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

Full work available at URL: http://ddd.uab.cat/record/150637

zbMATH Keywords

combinatoricstopologycomplex dynamical systemsdynamics of rational maps

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 (8)

Singular perturbations with multiple poles of the simple polynomials ⋮ Achievable connectivities of Fatou components for a family of singular perturbations ⋮ A family of rational maps with buried Julia components ⋮ Julia sets as buried Julia components ⋮ Rational maps with Fatou components of arbitrarily large connectivity ⋮ Singular perturbations of Blaschke products and connectivity of Fatou components ⋮ Buried Julia components and Julia sets ⋮ Singular perturbations of complex polynomials

Cites Work

• Rational maps with generalized Sierpinski gasket Julia sets
• On the dynamics of rational maps
• The escape trichotomy for singularly perturbed rational maps
• Singular perturbations in the quadratic family
• SINGULAR PERTURBATIONS OF zⁿ WITH MULTIPLE POLES
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)

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