Deterministic and random dynamical systems: theory and numerics
The theory of (random) dynamical systems is a framework for the analysis of large time behaviour of time-evolving systems (driven by noise). These notes contain an elementary introduction to the theory of both dynamical and random dynamical systems. The subject matter is made accessible by means of very simple examples and highlights relationships between the deterministic and the random theories.
© 2002 Springer Science+Business Media Dordrecht. The authors are grateful to James Robinson, Hersir Sigurgeirsson, John Terry, Roger Tribe, Paul Tupper and Jon Warren for help in preparation of these notes. Hersir Sigurgeirsson created all the graphics related to Case Study 2. We are grateful to Anne Bourlioux, Martin Gander and Gert Sabidussi for giving us the opportunity, and necessary support, to enable us to give lectures based on these notes. ARH has received support from the Engineering and Physical Sciences Research Council of the UK under grant GR/M06925, the Leverhulme Trust of the UK and the Fields Institute of Canada. AMS is supported by the Engineering and Physical Sciences Research Council of the UK under grant GR/N00340.