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  2. Symbolic dynamics - Wikipedia

    en.wikipedia.org/wiki/Symbolic_dynamics

    Symbolic dynamics originated as a method to study general dynamical systems; now its techniques and ideas have found significant applications in data storage and transmission, linear algebra, the motions of the planets and many other areas [citation needed]. The distinct feature in symbolic dynamics is that time is measured in discrete intervals.

  3. Category:Symbolic dynamics - Wikipedia

    en.wikipedia.org/wiki/Category:Symbolic_dynamics

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  4. Subshift of finite type - Wikipedia

    en.wikipedia.org/wiki/Subshift_of_finite_type

    A symbolic flow or subshift is a closed T-invariant subset Y of X [3] and the associated language L Y is the set of finite subsequences of Y. [ 4 ] Now let A be an n × n adjacency matrix with entries in {0, 1}.

  5. List of dynamical systems and differential equations topics

    en.wikipedia.org/wiki/List_of_dynamical_systems...

    This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics , list of equations . Dynamical systems, in general

  6. Baker's map - Wikipedia

    en.wikipedia.org/wiki/Baker's_map

    The baker's map can be understood as the two-sided shift operator on the symbolic dynamics of a one-dimensional lattice. Consider, for example, the bi-infinite string Consider, for example, the bi-infinite string

  7. Shift space - Wikipedia

    en.wikipedia.org/wiki/Shift_space

    In symbolic dynamics and related branches of mathematics, a shift space or subshift is a set of infinite words that represent the evolution of a discrete system. In fact, shift spaces and symbolic dynamical systems are often considered synonyms. The most widely studied shift spaces are the subshifts of finite type and the sofic shifts.

  8. Cellular automaton - Wikipedia

    en.wikipedia.org/wiki/Cellular_automaton

    In the 1960s, cellular automata were studied as a particular type of dynamical system and the connection with the mathematical field of symbolic dynamics was established for the first time. In 1969, Gustav A. Hedlund compiled many results following this point of view [ 20 ] in what is still considered as a seminal paper for the mathematical ...

  9. Measure-preserving dynamical system - Wikipedia

    en.wikipedia.org/wiki/Measure-preserving...

    The symbolic name of x, with regards to the partition Q, is the sequence of integers {a n} such that T n x ∈ Q a n . {\displaystyle T^{n}x\in Q_{a_{n}}.} The set of symbolic names with respect to a partition is called the symbolic dynamics of the dynamical system.