Hostname: page-component-5447f9dfdb-lxwkt Total loading time: 0 Render date: 2025-07-28T19:11:46.230Z Has data issue: false hasContentIssue false
  • English
  • Français

Rikitake system: analytic and Darbouxian integrals

Published online by Cambridge University Press:  12 July 2007

Claudia Valls
Claudia Valls
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal (cvalls@math.ist.utl.pt)
Get access Rights & Permissions [Opens in a new window]

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.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 6 , December 2005 , pp. 1309 - 1326
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable