The Rikitake Two-Disc Dynamo System and the Painleve Property

Abstract

To find integrable and nonintegrable regions of the Rikitake two disc dynamo system we investigate its Painleve property. This means we perform a singular point analysis. This analysis gives us a hint where global constants of motion exist. We also investigate related systems. © 1983, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.