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Rikitake system: analytic and Darbouxian integrals

Published online by Cambridge University Press:  12 July 2007

Claudia Valls
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal ([email protected])

Abstract

We give a complete characterization of the analytic and Darbouxian first integrals of the Rikitake system, which serves as a model for the reversal of polarity of the Earth's electromagnetic field. Our approach uses the Darboux theory of integrability.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2005

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