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METASTABLE SETS IN OPEN DYNAMICAL SYSTEMS AND SUBSTOCHASTIC MARKOV CHAINS

Part of: Smooth dynamical systems: general theory Applications - Dynamical systems and ergodic theory Ergodic theory

Published online by Cambridge University Press:  08 July 2015

ROBYN M. STUART
ROBYN M. STUART*
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark email Robyn@math.ku.dk
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Abstract

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Keywords

open dynamical systemmetastabilityPerron–Frobenius operatorsubstochastic Markov chainsurface ocean dynamics

MSC classification

Primary: 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
Secondary: 37A30: Ergodic theorems, spectral theory, Markov operators 37C75: Stability theory 37N10: Dynamical systems in fluid mechanics, oceanography and meteorology
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 344 - 345
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Froyland, G., Pollet, P. K. and Stuart, R. M., ‘A closing scheme for finding almost-invariant sets in open dynamical systems’, J. Comput. Dyn. 1 (2014), doi:10.3934/jcd.2014.1.135.Google Scholar
Froyland, G., Stuart, R. M. and van Sebille, E., ‘How well-connected is the surface of the global ocean’, Chaos 24 (2014), doi:10.1063/1.4892530.CrossRefGoogle ScholarPubMed