modules

Dynamical systems are mathematical models of real systems (for example, climate, brain, electronic circuits and lasers) that evolve in time according to definite (deterministic) rules expressed as nonlinear differential equations or iterated maps. Given the set of rules, the purpose of this module is to explain the resulting behaviour. The main questions that dynamical systems theory addresses are: What are the possible long-term behaviours of such systems? How do these depend on initial conditions? How do these depend on system parameters (bifurcations)? In particular, we highlight how seemingly random behaviour (chaos) is possible even in such deterministic systems.

 

Pre-requisite Module: MTH2003 Differential Equations or equivalent