Connectedness of Julia sets of rational functions

DOI10.1007/BF03320977zbMath1022.37031WikidataQ121865450 ScholiaQ121865450MaRDI QIDQ1848417

Christoph Stroh, Franz Peherstorfer

Publication date: 4 November 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

connected componentsbasin of attractioncritical pointsJulia setFatou setrational mapHerman ringsfinite post-critical set

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)

New escape criteria for complex fractals generation in Jungck-CR orbit ⋮ Singular perturbations with multiple poles of the simple polynomials ⋮ Chaotic tracial dynamics ⋮ Singular perturbations of the unicritical polynomials with two parameters ⋮ Rational families converging to a family of exponential maps ⋮ Regularizing quadrangles in the Möbius plane ⋮ Relating singularly perturbed rational maps to families of entire maps ⋮ Geometric limit of Julia set of a family of rational functions with odd degree

Cites Work

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• Complex dynamics
• Rational iteration: complex analytic dynamical systems
• A NEW SIMPLE CLASS OF RATIONAL FUNCTIONS WHOSE JULIA SET IS THE WHOLE RIEMANN SPHERE
• On the quasiconformal surgery of rational functions
• On the julia sets of quadratic rational maps
• Geometry and Dynamics of Quadratic Rational Maps
• Iterations of rational functions: which hyperbolic components contain polynomials?
• JULIA AND MANDELBROT SETS OF CHEBYSHEV FAMILIES

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