Tippe Top Equations and Equations for the Related Mechanical Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• ISSN: 1815-0659
• Main Author: Rutstam, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148412
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tippe Top Equations and Equations for the Related Mechanical Systems / N. Rutstam // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 23 назв. — англ.

The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asymptotic solutions and the LaSalle type theorem. They do not explain the dynamics of inversion. To app...