dynamical systems

a rule which describes the evolution over time of a point's position in an ambient space. Often the point represents the state of some physical system, and the ambient space represents the "space of all possible states" of the physical system. The evolution occurs at discrete instants in time for a discrete-time dynamical system and continuously in time for a continuous-time dynamical system, but both types of evolution are not allowed in a single classical dynamical system.

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