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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… Click to show full 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.
Keywords:
axially symmetric;
chaplygin;
chaplygin sphere;
integrability dimensional;
dimensional axially;
symmetric chaplygin
Journal Title: Regular and Chaotic Dynamics
Year Published: 2019
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Journal Title: Regular and Chaotic Dynamics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!