F11AS Dynamical Systems

Prof Bryan Rynne

Course co-ordinator(s): Prof Bryan Rynne (Edinburgh).

Aims:

The course aims to introduce the main features of dynamical systems, particularly as they arise from systems of ordinary differential equations as models in applied mathematics. The topics presented will include phase space, fixed points and stability analysis, bifurcations, Hamiltonian systems and dissipative systems. Discrete dynamical systems will also be discussed briefly, leading to the idea of a `chaotic' dynamical system.

Detailed Information

Pre-requisites: An Honours Degree in Mathematics or related discipline..

Location: Edinburgh.

Semester: 2.

SCQF Level: 11.

Credits: 15.