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dynamical system

A system that is described by temporal change of a point in a state space (or phase space). At any given time, the system is in a particular state in its space, and it follows an evolution rule that describes how the system changes states over time. Generally, a continuous dynamical system will be described by differential equations, while a discrete dynamical system will be described by difference equations. Stochastic dynamical systems will have solutions related to a probability distribution, while deterministic dynamical systems will have exact solutions.