On analytic perturbations of a family of Feigenbaum-like equations

DOI10.1016/j.jmaa.2010.06.047zbMath1209.37045arXiv0811.2821OpenAlexW2005908397MaRDI QIDQ607293

Denis G. Gaidashev

Publication date: 22 November 2010

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

Full work available at URL: https://arxiv.org/abs/0811.2821

zbMATH Keywords

renormalizationperiod-doublingunimodal mapsFeigenbaum equation

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Cites Work

• The universal metric properties of nonlinear transformations
• On the existence of fixed points of the composition operator for circle maps
• New proofs of the existence of the Feigenbaum functions
• Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
• Dynamics of quadratic polynomials: complex bounds for real maps
• Hyperbolicity of renormalization of critical circle maps
• Quantitative universality for a class of nonlinear transformations
• Period doubling in area-preserving maps: an associated one-dimensional problem
• Fixed points of composition operators. II
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