In mathematics, symbolic dynamics is the study of dynamical systems defined on a discrete space consisting of infinite sequences of abstract symbols....

system is given by the flow to the projected differential equation. Symbolic dynamics is the practice of modelling a topological or smooth dynamical system...

visitation sequence of the orbits provide a symbolic representation of the dynamics, known as symbolic dynamics. It is possible to describe the behavior...

or a physical entity Symbolic computation, a scientific area concerned with computing with mathematical formulas Symbolic dynamics, a method for modeling...

behaviour of hyperbolic system can be studied using the techniques of symbolic dynamics. In this case, a heteroclinic orbit has a particularly simple and...

behaviour of a hyperbolic system can be studied using the techniques of symbolic dynamics. In this case, a homoclinic orbit has a particularly simple and clear...

dynamics, the study of dynamical systems from the viewpoint of general topology Symbolic dynamics, a method to model dynamical systems Group dynamics...

together in a particular way. This suggests to us the construction by symbolic dynamics, where we start with a circle as a "racetrack", and append an "odometer"...

entropy). Poincaré–Bendixson theorem Symbolic dynamics Topological conjugacy D. V. Anosov (2001) [1994], "Topological dynamics", Encyclopedia of Mathematics...

than two possible outcomes. Bernoulli schemes appear naturally in symbolic dynamics, and are thus important in the study of dynamical systems. Many important...

Hardy spaces, the theory of abelian varieties, and the theory of symbolic dynamics, for which the baker's map is an explicit representation. The notion...

dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of all possible sequences...

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...

Symbolic regression (SR) is a type of regression analysis that searches the space of mathematical expressions to find the model that best fits a given...

1993), an American mathematician, was one of the founders of symbolic and topological dynamics. Hedlund was born May 7, 1904, in Somerville, Massachusetts...

ISBN 978-0-8133-4085-2. Robinson, Clark (1995). Dynamical systems: Stability, symbolic dynamics, and chaos. CRC Press. ISBN 0-8493-8493-1. Feldman, D. P. (2012)....

systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics. By using a Markov partition, the system...

Michael Keane and Caroline Series, eds. (1991). Ergodic theory, symbolic dynamics and hyperbolic spaces. Oxford University Press. ISBN 978-0-19-853390-0...

of dynamics Arithmetic dynamics Chaos theory Symbolic dynamics Milnor (2006), section 13. Guedj (2010), Theorem B. Dinh & Sibony (2010), "Dynamics .....

Symbolics, Inc. is a privately held American computer software maker that acquired the assets of the former manufacturing company of the identical name...

{\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. A partition Q...

of Hidden Markov Chains by Linear Algebra, Formal Languages, and Symbolic Dynamics - Karl Petersen, Mathematics 210, Spring 2006, University of North...

mathematical characterization of cellular automata in terms of their symbolic dynamics. It is named after Morton L. Curtis, Gustav A. Hedlund, and Roger...

JSTOR 2314839. Oldenburger, Rufus (1939). "Exponent trajectories in symbolic dynamics". Transactions of the American Mathematical Society. 46 (3): 453–466...

prize for this work. A simplified proof of the isomorphism theorem for symbolic Bernoulli schemes was given by Michael S. Keane and M. Smorodinsky in 1979...

practice Iterated monodromy group, a concept in mathematics related to symbolic dynamics IMG (company), global sports and media business headquartered in New...

scatterer. Each member of the invariant set can be modelled using symbolic dynamics: the trajectory is labelled based on each of the discs off of which...

1, Berlin, 1772, pp. 255–284 Morse, M.; Hedlund, G. A. (1940). "Symbolic Dynamics II. Sturmian Trajectories". American Journal of Mathematics. 62 (1):...

S2CID 2413058. Gutman, Yonatan. "Embedding ℤk-actions in cubical shifts and ℤk-symbolic extensions." Ergodic Theory and Dynamical Systems 31.2 (2011): 383-403...

ergodic theorem Ornstein isomorphism theorem Statistical mechanics Symbolic dynamics Reed, Michael; Simon, Barry (1980), Functional Analysis, Methods of...