Accessible Mandelbrot sets in the family \(z^n + \lambda /z^n\)

DOI10.1007/s12346-015-0140-5zbMath1338.37057OpenAlexW2216648693MaRDI QIDQ290289

Daniel Cuzzocreo, Elizabeth Fitzgibbon, Robert L. Devaney, Paul R. Blanchard

Publication date: 1 June 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0140-5

zbMATH Keywords

Julia setcomplex dynamicsMandelbrot setexternal raysinternal rays

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev's method on cubic polynomials, Blowup points and baby Mandelbrot sets for a family of singularly perturbed rational maps

Cites Work

• Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps
• Buried Sierpinski curve Julia sets
• CHECKERBOARD JULIA SETS FOR RATIONAL MAPS
• Singular perturbations of complex polynomials
• The escape trichotomy for singularly perturbed rational maps
• The McMullen domain: Rings around the boundary
• Hyperbolic components of McMullen maps
• Intertwined internal rays in Julia sets of rational maps
• A Cantor-Mandelbrot-Sierpiński tree in the parameter plane for rational maps
• Quasiconformal Surgery in Holomorphic Dynamics
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item