Renormalization of binary trees derived from one-dimensional unimodal maps

DOI10.1007/BF01334751zbMath0712.58022MaRDI QIDQ748982

Edmond Rusjan, Yuzhen Ge, Paul F. Zweifel

Publication date: 1990

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

zbMATH Keywords

chaosfixed pointpartition functionbifurcationnonlinear dynamicsHausdorff dimensionrenormalizationscalinguniversalityone-dimensional unimodal maps

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (3)

Binary tree approach to scaling in unimodal maps ⋮ Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ NUMERICAL APPROXIMATION OF THE PERCENTAGE OF ORDER FOR ONE-DIMENSIONAL MAPS

Cites Work

• Unnamed Item
• 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

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