On a non-conformal cubic family and its application

DOI10.1007/s12346-023-00852-6OpenAlexW4385837126MaRDI QIDQ6096403

A. M. Alvez, Deiwison S. Machado, Mostafa Salarinoghabi, Pouya Mehdipour

Publication date: 12 September 2023

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

Full work available at URL: https://doi.org/10.1007/s12346-023-00852-6

zbMATH Keywords

polynomial endomorphismsfilled Julia setnon-holomorphic mapsnonconformal mappings

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The iteration of cubic polynomials. I: The global topology of parameter space
• Dynamics of symmetric polynomial endomorphisms of \(\mathbb C^{2}\)
• Some Geometric Properties of Julia Sets and filled-in Julia Sets of Polynomials
• Dimension of non-conformal repellers: a survey
• Tschebyscheffpolynome in mehreren Variablen.
• Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
• THE SETS OF POINTS WITH BOUNDED ORBITS FOR GENERALIZED CHEBYSHEV MAPPINGS
• Dynamics in One Complex Variable. (AM-160)

This page was built for publication: On a non-conformal cubic family and its application