Dynamics of Certain Nonconformal Degree-Two Maps of the Plane

DOI10.1080/10586458.1993.10504569zbMath0816.30015arXivmath/9201293OpenAlexW2058251174MaRDI QIDQ4303663

Scott Sutherland, B. Bielefeld, J. J. P. Veerman, F. M. Tangerman

Publication date: 20 July 1995

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201293

zbMATH Keywords

Mandelbrot setfilled-in Julia setconnectedness locus

Mathematics Subject Classification ID

Topological dynamics (37B99) Fractals (28A80) Quasiconformal mappings in the complex plane (30C62)

Related Items (7)

Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps ⋮ DYNAMICS OF NONHOLOMORPHIC SINGULAR CONTINUATIONS: A CASE IN RADIAL SYMMETRY ⋮ Fixed curves near fixed points ⋮ Dynamics of quasiregular mappings with constant complex dilatation ⋮ REAL CONTINUATION FROM THE COMPLEX QUADRATIC FAMILY: FIXED-POINT BIFURCATION SETS ⋮ Real Perturbation of Complex Analytic Families: Points to Regions ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0}

Uses Software

• Mathematica

Cites Work

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• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Resonance Zones in Two-Parameter Families of Circle Homeomorphisms
• Complex analytic dynamics on the Riemann sphere
• Dynamics of certain non-conformal semigroups
• Complex Dynamics and Renormalization (AM-135)

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