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About: Symbolic dynamics     Goto   Sponge   NotDistinct   Permalink

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Type: companyyago:WikicatOrdinaryDifferentialEquationsyago:Abstraction100002137yago:Attribute100024264yago:Communication100033020yago:DifferentialEquation106670521yago:DynamicalSystem106246361yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:PhaseSpace100029114yago:Space100028651yago:Statement106722453yago:WikicatDynamicalSystems New Facet based on Instances of this Class

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.