A decoding problem in dynamics and in number theory

DOI10.1063/1.165890zbMath1055.37557OpenAlexW2046789907WikidataQ52412126 ScholiaQ52412126MaRDI QIDQ4526262

George Zettler, Charles Tresser, Ralph M. Siegel

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165890

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Dynamical systems involving maps of the circle (37E10) Physiology (general) (92C30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Elementary number theory (11A99) Rotation numbers and vectors (37E45)

Related Items (11)

Dynamic of error diffusion on several polytopes ⋮ Piecewise linear models for the quasiperiodic transition to chaos ⋮ A Farey tree organization of locking regions for simple circle maps ⋮ Convex dynamics: Unavoidable difficulties in bounding some greedy algorithms ⋮ A Unified Renormalization Scheme for Two-Piecewise Monotonous Maps of the Interval ⋮ A characterization of the kneading sequences associated to Lorenz maps of the interval ⋮ A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Rotation orbits and the Farey tree ⋮ Bounding the errors for convex dynamics on one or more polytopes ⋮ Itineraries of rigid rotations and diffeomorphisms of the circle

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