Dual star products and metric universality in symbolic dynamics of three letters.

DOI10.1016/S0375-9601(98)00477-0zbMath1044.37500WikidataQ127322189 ScholiaQ127322189MaRDI QIDQ1966775

Xu-Sheng Zhang, Shou-Li Peng, Ke-Fei Cao

Publication date: 8 March 2000

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

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10)

Related Items (15)

Symmetries of star products and metric universalities in 1D quadri-modal maps ⋮ Metric universalities and systems of renormalization group equations for bimodal maps ⋮ Homology of Vertex and Edge Shift Matrices in Symbolic Dynamics and Entropy Invariants ⋮ Dynamical randomicity and predictive analysis in cubic chaotic system ⋮ New universal bifurcation scenario in one-dimensional trimodal maps ⋮ Devil's carpet of topological entropy and complexity of global dynamical behavior ⋮ Entropy invariants. I: The universal order relation of order-preserving star products. ⋮ Determining consecutive periods of the Lorenz maps ⋮ Dual star products and symbolic dynamics of Lorenz maps with the same entropy ⋮ 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 ⋮ A superconvergent universality induced by non-associativity ⋮ Cyclic star products and universalities in symbolic dynamics of trimodal maps ⋮ UNIVERSAL FORM OF RENORMALIZABLE KNOTS IN SYMBOLIC DYNAMICS OF BIMODAL MAPS ⋮ An effective numerical method of the word-lifting technique in one-dimensional multimodal maps

Cites Work

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• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• The universal metric properties of nonlinear transformations
• On the abundance of aperiodic behaviour for maps on the interval
• Renormalization of \(C^ 0\) bimodal maps
• A genealogy for the periodic orbits of a class of 1D maps
• On finite limit sets for transformations on the unit interval
• Boundary of Topological Chaos for Bimodal Maps of the Interval
• Period doubling for bimodal maps: a horseshoe for a renormalisation operator
• A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval

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