External rays for polynomial maps of two variables associated with Chebyshev maps

DOI10.1016/J.JMAA.2007.05.036zbMath1139.37034OpenAlexW1998853923MaRDI QIDQ2473906

Shizuo Nakane

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.036

zbMATH Keywords

Julia setsymmetric productChebyshev mapexternal rayBöttcher coordinate

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 (4)

Geometry and Algebra of the Deltoid Map ⋮ Julia sets for polynomial diffeomorphisms of \(\mathbb{C}^2\) are not semianalytic ⋮ No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy ⋮ Iterated monodromy groups of Chebyshev-like maps on \(\mathbb{C}^n\)

Cites Work

• Dynamics of symmetric polynomial endomorphisms of \(\mathbb C^{2}\)
• THE DYNAMICAL SYSTEMS ASSOCIATED WITH CHEBYSHEV POLYNOMIALS IN TWO VARIABLES
• Folding Polynomials and Their Dynamics
• Dynamics of regular polynomial endomorphisms of C k [superscript]
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