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Energy balance models — viewed from stochastic dynamics

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Stochastic Climate Models

Part of the book series: Progress in Probability ((PRPR,volume 49))

Abstract

In this article the bottom part in the hierarchy of climate models — energy balance models — is revisited by a mathematician working in stochastic dynamics. The review of mostly deterministic 0- to 2-dimensional models focuses on the mathematical problems of equilibria, stability and bifurcations. Stochastic extensions can profit from the availability of well developed mathematical theories. To give an example, we review an approach of stochastic resonance from the theory of large deviations for dynamical systems. Stochastic resonance was born in the area of energy balance models, in an attempt to find a simple explanation of glaciation cycles. It still plays a role, as is shown by very recent applications to the ENSO system in another simple two-dimensional model.

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Authors and Affiliations

  1. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Peter Imkeller

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  1. Peter Imkeller
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  1. Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099, Berlin, Germany

    Peter Imkeller

  2. Institut für Meteorologie, Universität Hamburg, Bundesstr. 55, D-20146, Hamburg, Germany

    Jin-Song von Storch

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© 2001 Springer Basel AG

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Imkeller, P. (2001). Energy balance models — viewed from stochastic dynamics. In: Imkeller, P., von Storch, JS. (eds) Stochastic Climate Models. Progress in Probability, vol 49. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8287-3_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8287-3_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9504-0

  • Online ISBN: 978-3-0348-8287-3

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