Integrability of the n-dimensional Axially Symmetric Chaplygin Sphere

被引：1

作者：

Garcia-Naranjo, Luis C. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, IIMAS, Dept Matemat & Mecan, Apdo Postal 20-126, Mexico City 01000, DF, Mexico

来源：

REGULAR & CHAOTIC DYNAMICS | 2019年 / 24卷 / 05期

关键词：

non-holonomic dynamics; integrability; quasi-periodicity; symmetry; singular reduction; DYNAMICS;

D O I：

10.1134/S1560354719050022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：450 / 463

页数：14

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