Symbolic dynamics
In mathematics, symbolic dynamics is the practice of modeling a topological or smooth dynamical system by a discrete space consisting of infinite sequences of abstract symbols, each of which corresponds to a state of the system, with the dynamics (evolution) given by the shift operator. Formally, a Markov partition is used to provide a finite cover for the smooth system; each set of the cover is associated with a single symbol, and the sequences of symbols result as a trajectory of the system moves from one covering set to another.
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Alejandro OteroArtin billiardAsok RayAvraham TrahtmanBaker's mapBernoulli schemeBrian MarcusCellular automatonChaotic scatteringClaude ShannonCombinatorics and dynamical systemsComplex dynamicsComplexity economicsCurtis–Hedlund–Lyndon theoremCylinder setDynamical systems theoryDynamicsErgodic flowErgodic theoryErgodicityFinite typeGlossary of areas of mathematicsGustav A. HedlundHematopoietic stem cellHeteroclinic orbitHigher-dimensional algebraHomoclinic orbitHorseshoe mapHyperbolic equilibrium pointIhara zeta functionIndex of physics articles (S)Iterated monodromy groupItineraryJacques HadamardList of Wesleyan University peopleList of dynamical systems and differential equations topicsMarkov partitionMeasure-preserving dynamical systemMisiurewicz pointPinwheel tiling
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Symbolic dynamics
In mathematics, symbolic dynamics is the practice of modeling a topological or smooth dynamical system by a discrete space consisting of infinite sequences of abstract symbols, each of which corresponds to a state of the system, with the dynamics (evolution) given by the shift operator. Formally, a Markov partition is used to provide a finite cover for the smooth system; each set of the cover is associated with a single symbol, and the sequences of symbols result as a trajectory of the system moves from one covering set to another.
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En mathématiques, la dynamique ...... itablement avec l'article de .
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In mathematics, symbolic dynam ...... m one covering set to another.
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Символическая динамика — объед ...... ссмотрении отображения судьбы.
@ru
符号动力学是数学中研究符号动力系统的学科。在符号动力系统中，系统的状态可以表示成有限个抽象符号的无穷序列，由任一状态点的运动轨迹可以通过简单的移位规则来确定。
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title
Symbolic dynamics
@en
urlname
Symbolic_dynamics
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hypernym
type
comment
En mathématiques, la dynamique ...... m de « dynamique symbolique ».
@fr
In mathematics, symbolic dynam ...... m one covering set to another.
@en
Символическая динамика — объед ...... ссмотрении отображения судьбы.
@ru
符号动力学是数学中研究符号动力系统的学科。在符号动力系统中，系统的状态可以表示成有限个抽象符号的无穷序列，由任一状态点的运动轨迹可以通过简单的移位规则来确定。
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label
Dynamique symbolique
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Symbolic dynamics
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Symbolische Dynamik
@de
Символическая динамика
@ru
符号动力学
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