SYMBOL-TO-SYMBOL CORRELATION FUNCTION AT THE FEIGENBAUM POINT OF THE LOGISTIC MAP

DOI10.1142/S0218127413501186zbMath1275.37011arXiv1608.05876MaRDI QIDQ2864941

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Publication date: 27 November 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.05876

zbMATH Keywords

logistic mapsymbolic dynamicscorrelation functionFeigenbaum attractors

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Structure of the correlation function at the accumulation points of the logistic map

Cites Work

• The universal metric properties of nonlinear transformations
• Toward a quantitative theory of self-generated complexity
• Symbolic dynamics and entropy analysis of Feigenbaum limit sets
• Word frequency and entropy of symbolic sequences: A dynamical perspective
• Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms
• Toward a probabilistic approach to complex systems
• Quantitative universality for a class of nonlinear transformations
• Probabilistic approach to homoclinic chaos
• On finite limit sets for transformations on the unit interval
• On the complexity of algebraic numbers. I: Expansions in integer bases
• Master-equation approach to deterministic chaos
• Entropy analysis of substitutive sequences revisited
• Simple mathematical models with very complicated dynamics

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