Chaotic dynamics of a quasiregular sine mapping

DOI10.1080/10236198.2012.749250zbMath1323.30032arXiv1208.3585OpenAlexW1968939207MaRDI QIDQ2846811

Alastair Fletcher, Daniel A. Nicks

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1208.3585

zbMATH Keywords

iterationdynamicsJulia setperiodic pointsquasiregular mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

Julia sets of Zorich maps ⋮ Periodic domains of quasiregular maps ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ The Julia set and the fast escaping set of a quasiregular mapping

Cites Work

• Foundations for an iteration theory of entire quasiregular maps
• Iteration of quasiregular mappings
• Quasiregular analogues of critically finite rational functions with parabolic orbifold
• On a method of Holopainen and Rickman
• Fixed points and normal families of quasiregular mappings
• Iteration of quasiregular tangent functions in three dimensions
• Dynamics of a higher dimensional analog of the trigonometric functions
• Quasiregular dynamics on the n-sphere
• The escaping set of a quasiregular mapping
• On iterates of e^z
• A STUDY OF THE DYNAMICS OF λsinz

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