Published 2002 | Version public
Book Section - Chapter

Deterministic and random dynamical systems: theory and numerics

  • 1. ROR icon University of Sussex
  • 2. ROR icon University of Warwick

Abstract

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.

Additional Information

© 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.

Additional details

Identifiers

Eprint ID
78165
DOI
10.1007/978-94-010-0510-4_6
Resolver ID
CaltechAUTHORS:20170613-125750895

Funding

Engineering and Physical Sciences Research Council (EPSRC)
GR/M06925
Leverhulme Trust
Fields Institute of Canada
Engineering and Physical Sciences Research Council (EPSRC)
GR/N00340

Dates

Created
2017-06-13
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field

Caltech Custom Metadata

Series Name
NATO Science Series
Series Volume or Issue Number
75
Other Numbering System Name
Andrew Stuart
Other Numbering System Identifier
C9