The Rikitake Two-Disk Dynamo System and Domains with Periodic Orbits

Author： Hardy Y.   Steeb W.  

Publisher： Springer Publishing Company

ISSN： 0020-7748

Source： International Journal of Theoretical Physics, Vol.38, Iss.9, 1999-09, pp. : 2413-2417

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Abstract

The Rikitake two-disk dynamo system is a simple model to describe the earth's magnetic field. We derive the conditions to find periodic orbits of this system using an ellipsoid bounding condition. We prove that the conditions cannot be satisfied.

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