Phase Space of Rolling Solutions of the Tippe Top

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Glad, S.T., Petersson, D., Rauch-Wojciechowski, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147821
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Phase Space of Rolling Solutions of the Tippe Top / S.T. Glad, D. Petersson, S. Rauch-Wojciechowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ.

Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit three integrals of motion that are linear and...