Devil's staircase of topological entropy and global metric regularity

DOI10.1016/0375-9601(94)90536-3zbMath0961.37504OpenAlexW2074245360MaRDI QIDQ1965043

Shou-Li Peng, Ke-Fei Cao, Zhong-Xuan Chen

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90536-3

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)

Related Items (9)

Dynamical randomicity and predictive analysis in cubic chaotic system ⋮ Entropy invariants. I: The universal order relation of order-preserving star products. ⋮ Entropy invariants. II: The block structure of Stefan matrices. ⋮ Metric universality for the devil's staircase of topological entropy. ⋮ Disorder versus order: global multifractal relationship between topological entropies and universal convergence rates. ⋮ Multiformity of inherent randomicity and visitation density in \(n\) symbolic dynamics ⋮ GENERAL FORM OF SUPERUNIVERSALITY FOR FRACTAL DIMENSIONS IN ONE-DIMENSIONAL MAPS ⋮ Order isomorphism under higher power shift and generic form of renormalization group equations in multimodal maps ⋮ Inherent randomicity in 4-symbolic dynamics

Cites Work

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• Computing the topological entropy of maps
• The universal metric properties of nonlinear transformations
• Dynamical systems. Proceedings of the special year held at the University of Maryland, College Park, 1986-87
• On finite limit sets for transformations on the unit interval
• Universal scaling of generalized dimensions on critical strange sets

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