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.

Dynamicist descriptions must be:

deterministic
generally complex (i.e. nonlinear)
described with respect to the independent variable of time
of low dimensionality
intimately linked (i.e. coupled)


A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space.

cellular automata present an alternative to differential and difference equations that may be worth comparing/contrasting.