A dynamics approach to a low order climate model

Title:
A dynamics approach to a low order climate model
Authors:
Walsh, James; Widiasih, Esther
Abstract:
Energy Balance Models (EBM) are conceptual models which have proved useful in the study of planetary climate. The focus of EBM is placed on large scale climate components such as incoming solar radiation, albedo, outgoing longwave radiation and heat transport, and their interactions. Until recently, their study has centered on equilibrium solutions of an associated model equation, with no consideration of the dynamical nature of these solutions. In this paper we continue and expand upon recent efforts aimed at placing EBM in a more mathematical, dynamical systems context. In particular, the dynamical behavior of several variants of the Budyko-Sellers model, all but one of which involve the movement of glaciers, is shown to reduce to the study of the system on an attracting one-dimensional invariant manifold in an appropriately defined state space.
Citation:
Walsh, J.A. and E. Widiasih. 2014. "A dynamics approach to a low order climate model." Discrete and Continuous Dynamical Systems Series B 19(1): 257-279.  
Publisher:
American Institute of Mathematical Sciences
DATE ISSUED:
2014
Department:
Mathematics
Type:
Article
PUBLISHED VERSION:
10.3934/dcdsb.2014.19.257
PERMANENT LINK:
http://hdl.handle.net/11282/566852

Full metadata record

DC FieldValue Language
dc.contributor.authorWalsh, Jamesen
dc.contributor.authorWidiasih, Estheren
dc.date.accessioned2015-08-13T10:35:33Zen
dc.date.available2015-08-13T10:35:33Zen
dc.date.issued2014en
dc.identifier.citationWalsh, J.A. and E. Widiasih. 2014. "A dynamics approach to a low order climate model." Discrete and Continuous Dynamical Systems Series B 19(1): 257-279.  en
dc.identifier.issn1531-3492en
dc.identifier.urihttp://hdl.handle.net/11282/566852en
dc.description.abstractEnergy Balance Models (EBM) are conceptual models which have proved useful in the study of planetary climate. The focus of EBM is placed on large scale climate components such as incoming solar radiation, albedo, outgoing longwave radiation and heat transport, and their interactions. Until recently, their study has centered on equilibrium solutions of an associated model equation, with no consideration of the dynamical nature of these solutions. In this paper we continue and expand upon recent efforts aimed at placing EBM in a more mathematical, dynamical systems context. In particular, the dynamical behavior of several variants of the Budyko-Sellers model, all but one of which involve the movement of glaciers, is shown to reduce to the study of the system on an attracting one-dimensional invariant manifold in an appropriately defined state space.en
dc.language.isoen_USen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.identifier.doi10.3934/dcdsb.2014.19.257en
dc.subject.departmentMathematicsen
dc.titleA dynamics approach to a low order climate modelen
dc.typeArticleen
dc.identifier.journalDiscrete and Continuous Dynamical Systems Series B en
dc.subject.keywordClimate modelingen
dc.subject.keywordInvariant manifoldsen
dc.subject.keywordIce lineen
dc.subject.keywordBifurcationsen
dc.identifier.volume19en
dc.identifier.issue1en
dc.identifier.startpage257en
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