The Rikitake two-disk dynamo system and domains with periodic orbits

Authors
Hardy, Y Steeb, WH
Citation
Y. Hardy et Wh. Steeb, The Rikitake two-disk dynamo system and domains with periodic orbits, INT J THEOR, 38(9), 1999, pp. 2413-2417
Citations number
4
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
38
Issue
9
Year of publication
1999
Pages
2413 - 2417
Database
ISI
SICI code
0020-7748(199909)38:9<2413:TRTDSA>2.0.ZU;2-8
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.