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Definition of Dynamical system
1. Noun. (physics) a phase space together with a transformation of that space.
Category relationships: Natural Philosophy, Physics
Specialized synonyms: Chaos
Definition of Dynamical system
1. Noun. A mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Dynamical System
Literary usage of Dynamical system
Below you will find example usage of this term as found in modern and/or classical literature:
1. Science by American Association for the Advancement of Science (1900)
"When the structure of a dynamical system is largely concealed from view, the
safest and most direct way towards an exploration of its essential relations ..."
2. Report of the Annual Meeting (1900)
"When the structure of a dynamical system is largely concealed from view, the
safest and most direct way towards an exploration of its essential relations ..."
3. Electrical Papers by Oliver Heaviside (1894)
"Let the variables be Xy x2, ..., their velocities v1 = iv ..., and the equations
of motion Considering only a dynamical system in which the forces of ..."
4. Geometric Computing Science: First Steps by Robert Hermann (1991)
"Consider a continuous-time dynamical system defined via a smooth ordinary
differential equation of the following form: ..."
5. The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies by Edward John Routh (1905)
"If the period of complete recurrence of a dynamical system is not altered ...
A dynamical system passes freely from one configuration to another in time i ..."
6. Electrodynamics of Moving Media: Report of the National Research Council by William Francis Gray Swann, John Torrence Tate, Harry Bateman (1922)
"First, what is a dynamical system? This is of course a matter of definition.
There are several definitions, but the one on which it will serve to fix ..."
7. The Dynamical Theory of Gases by James Hopwood Jeans (1904)
"Similarly if a dynamical system is specified by n coordinates, we can represent
these coordinates in a space of n dimensions, and the various points in this ..."