Definition

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

Small changes in the state of the system create small changes in the numbers. The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state. The rule is deterministic; in other words, for a given time interval only one future state follows from the current state

 

Sources:

Dynamical_system Wikipedia

SimAnt Wikipedia

SimCity Wikipedia