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Deterministic and random dynamical systems: theory and numerics

Humphries, A. R. and Stuart, A. M. (2002) Deterministic and random dynamical systems: theory and numerics. In: Modern Methods in Scientific Computing and Applications. NATO Science Series. No.75. Springer , Dordrecht, pp. 211-254. ISBN 978-1-4020-0782-8. https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1007/978-94-010-0510-4_6DOIArticle
https://link.springer.com/chapter/10.1007%2F978-94-010-0510-4_6PublisherArticle
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.
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)GR/M06925
Leverhulme TrustUNSPECIFIED
Fields Institute of CanadaUNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)GR/N00340
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Andrew StuartC9
Series Name:NATO Science Series
Issue or Number:75
Record Number:CaltechAUTHORS:20170613-125750895
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78165
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Jun 2017 20:12
Last Modified:03 Oct 2019 18:06

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