The general exact bijective continuous solution of Feigenbaum's functional equation

DOI10.1007/BF01208784zbMath0525.39005OpenAlexW1967184036WikidataQ114234013 ScholiaQ114234013MaRDI QIDQ594299

Patrick J. McCarthy

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208784

zbMATH Keywords

behaviour of successive iteratesFeigenbaum's functional equationgeneral continuous bijective solution

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• The universal metric properties of nonlinear transformations
• Universal properties of maps on an interval
• On the existence of Feigenbaum's fixed point
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• The lattice-ordered group of automorphisms of an ordered set