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A Heteroclinic model of geodynamo reversals and excursions

Melbourne, I, Proctor, MRE and Rucklidge, AM (2001) A Heteroclinic model of geodynamo reversals and excursions. In: Dynamo and Dynamics, a Mathematical Challenge. NATO Science Series II: Mathematics, Physics & Chemistry . Kluwer: Dordrecht , 363 - 370 . ISBN 978-0-7923-7069-7

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Abstract

The Earth's magnetic field is by and large a steady dipole, but its history has been punctuated by intermittent excursions and reversals. This is at least superficially similar to the behaviour of differential equations containing structurally stable heteroclinic cycles. We present a model of the geodynamo that is based on the symmetries of velocity fields in a rotating spherical shell, and that contains such a cycle. Patterns of excursions and reversals that resemble the geomagnetic record can be obtained by introducing small symmetry-breaking terms.

Item Type: Book Section
Copyright, Publisher and Additional Information: © Springer, 2001. This is an author produced version of the published paper. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: heteroclinic
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 17 Nov 2011 11:25
Last Modified: 08 Feb 2013 17:35
Status: Published
Publisher: Kluwer: Dordrecht
URI: http://eprints.whiterose.ac.uk/id/eprint/43428

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