Search results
Results from the WOW.Com Content Network
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.
Pages in category "Symbolic dynamics" The following 8 pages are in this category, out of 8 total. This list may not reflect recent changes. ...
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.
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}.
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.
Symbolic computation, a scientific area concerned with computing with mathematical formulas; Symbolic dynamics, a method for modeling dynamical systems by a discrete space consisting of infinite sequences of abstract symbols; Symbolic execution, the analysis of computer programs by tracking symbolic rather than actual values
A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics.By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift.
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