Singular perturbations ofznwith a pole on the unit circle

DOI10.1080/10236190903257842zbMath1201.37070OpenAlexW1971943569MaRDI QIDQ3570130

Antonio Garijo, Sebastian M. Marotta

Publication date: 24 June 2010

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

Full work available at URL: https://doi.org/10.1080/10236190903257842

zbMATH Keywords

Julia setrational functionparameter spaceFatou setSierpinski curveMcMullen domainsingular bifurcationtrap door

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) Geometric limits in holomorphic dynamics (37F40)

Related Items (1)

Singular perturbations of complex polynomials

Cites Work

• Rational maps with generalized Sierpinski gasket Julia sets
• Complex dynamics
• The escape trichotomy for singularly perturbed rational maps
• On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points I
• NEWTON'S VERSUS HALLEY'S METHOD: A DYNAMICAL SYSTEMS APPROACH
• 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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