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Postal 20-126
- Publisher
- Springer Journals
- Copyright
- Copyright © 2019 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S1560354719050022
- Publisher site
- See Article on Publisher Site
Abstract
We consider the n-dimensional Chaplygin sphere under the assumption that the mass distribution of the sphere is axisymmetric. We prove that, for initial conditions whose angular momentum about the contact point is vertical, the dynamics is quasi-periodic. For n = 4 we perform the reduction by the associated SO(3) symmetry and show that the reduced system is integrable by the Euler-Jacobi theorem.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Oct 5, 2019