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 ?
In conclusion, we have argued that dynamical systems theory applied to motor control is a relevant framework for performance-oriented sports biomechanics research.
Random dynamical systems theory enables us to analyze the global stability properties of economic systems.
The paper's focus on skilled athletes leaves me wondering about the implications of dynamical systems theory for skill acquisition.
Briefly, in dynamical systems theory, mathematical models are usually expressed as a set of coupled ordinary differential (or difference) equations of the form:
Editors Hagen, Rupp, and Scheurle offer this compilation of papers on the crossover of dynamical systems theory with number theory, containing both theoretical and applications chapters as well as to biographical chapters of the Festschrift honoree Armin Leutbecher.
Themes include: trajectory design and optimization; spacecraft guidance, navigation and control; dynamical systems theory; atmospheric re-entry and lunar mission analysis; orbital dynamics; attitude dynamics and control; space surveillance; satellite relative motion; interplanetary trajectory designs; satellite constellations; planetary missions; trajectory solution techniques; spaceflight safety; attitude sensors data processing; orbital perturbations; near earth object missions; and space structures dynamics and control.
Contributing to the modern dynamical systems theory, Roberts explains how to derive relatively simple dynamical equations that model complex physical interactions.
Recognizing dynamical systems theory as the epistemological basis for conceptualizing motivation, contributors from linguistics and education introduce research methodologies that allow the study of individual motivational trajectories in second language acquisition at several time scales.

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