Binary tree approach to scaling in unimodal maps

DOI10.1007/BF02186875zbMath0841.58018arXivchao-dyn/9305002OpenAlexW2044692222MaRDI QIDQ1897032

Jukka A. Ketoja, Juhani Kurkijärvi

Publication date: 9 November 1995

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9305002

zbMATH Keywords

rotation numbersunimodal mapskneading sequencesMSS sequencescoding the dynamics

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (1)

Combination laws for scaling exponents and relation to the geometry of renormalization operators

Cites Work

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• Renormalization of binary trees derived from one-dimensional unimodal maps
• The universal metric properties of nonlinear transformations
• Fixed points of Feigenbaum's type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\)
• Absolutely continuous measures for certain maps of an interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
• Presentation functions, fixed points, and a theory of scaling function dynamics.
• On finite limit sets for transformations on the unit interval
• Universal metric properties of bifurcations of endomorphisms
• The Fibonacci Unimodal Map
• Scaling Laws for Mode Lockings in Circle Maps

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