On the Fibonacci complex dynamical systems

DOI10.3934/dcds.2016.36.2449zbMath1333.37052arXiv1304.4864OpenAlexW2963072394MaRDI QIDQ256212

Sylvain Bonnot, Ali Messaoudi, Olivier Sester, El Houcein El Abdalaoui

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4864

zbMATH Keywords

Julia setscomplex dynamicsholomorphic motionendomorphisms of \(\mathbb{C}^2\)quasi-circle

Mathematics Subject Classification ID

Related Items (4)

A class of adding machines and Julia sets ⋮ Julia sets for Fibonacci endomorphisms of ℝ² ⋮ Filled Julia set of some class of Hénon-like maps ⋮ \(N\)-parameter Fibonacci AF-algebras are isomorphic to their transpose AF-algebras

Cites Work

• Persistence of laminations
• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Complex dynamics
• Dynamics of quadratic polynomial mappings of \(\mathbb C^2\)
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• On the spectrum of stochastic perturbations of the shift and Julia sets
• Topology of Fatou components for endomorphisms of CP^k: linking with the Green's current
• EIGENVALUES OF FIBONACCI STOCHASTIC ADDING MACHINE
• A stochastic adding machine and complex dynamics
• Holomorphic Dynamics By S. MOROSAWA, Y. NISHIMURA, M. TANIGUCHI and T. UEDA Cambridge Studies in Advanced Mathematics, 66. Cambridge University Press, 2000. ISBN 0 521 66258 3.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Fibonacci complex dynamical systems