dynamical system

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dynamical system

[dī¦nam·ə·kəl ′sis·təm]
(mathematics)
An abstraction of the concept of a family of solutions to an ordinary differential equation; namely, an action of the real numbers on a topological space satisfying certain “flow” properties.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Valverde, "Parallel discrete dynamical systems on independent local functions," Journal of Computational and Applied Mathematics, vol.
In order to intuitively analyze the dynamic behavior of model (6), we used the numerical simulation to visually describe the dynamic evolution process of the discrete dynamical system (6) with the change of the model parameters, focusing on the market price of carbon trading Pand adjusting speed [alpha]'s influence on the dynamic nature of the system.
Brown, "Inverse limits, entropy and weak isomorphism for discrete dynamical systems," Transactions of the American Mathematical Society, vol.
In order to be more clear and intuitive in understanding the complex dynamic behavior of the discrete dynamical system (15), numerical analysis is used to describe the dynamical evolution process.
As pointed out in [1, 2], to model biological phenomenon, discrete dynamical systems are more appropriate than continuous time models, being computationally efficient to get numerical results.
Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman and Hall/CRC, Boca Raton, Fla, USA, 2002.
Difference equations or discrete dynamical systems are diverse fields which impact almost every branch of pure and applied mathematics.
Discrete dynamical systems and chaotic machines; theory and applications.
It covers current research on such discrete dynamical systems as one and two- dimensional cellular automata and illustrates how these systems can be used for artistic purposes by translating their mathematical configurations into visual media and music.
The theory of discrete dynamical systems has many applications in almost all branches of the applied sciences.
For example, in the study of discrete dynamical systems [5] or continuous time dynamical systems [6, 7], a positive solution for a system of equations represents the existence of stationary states.
In particular, there are many important theoretical results about criteria of chaos; for example, for discrete dynamical systems, there is the famous Marotto theorem.

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