This article is an overview of dynamical systems. For technical details see Dynamical system (definition). The dynamical system concept is a mathematicalformalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake.
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An area of mathematics used to describe the behavior of complex systems by employing differential and difference equations. Recently this approach has been advanced by some as the best way to describe human cognition. See also symbolicism , connectionism . <Discussion > <References > Chris Eliasmith