Integrability of the n-dimensional Axially Symmetric Chaplygin Sphere

被引：0

作者：

Luis C. García-Naranjo

机构：

[1] IIMAS-UNAM,Departamento de Matemáticas y Mecánica

来源：

Regular and Chaotic Dynamics | 2019年 / 24卷

关键词：

non-holonomic dynamics; integrability; quasi-periodicity; symmetry; singular reduction; 37J60; 70E18; 70E40; 58D19;

D O I：

暂无

中图分类号：

学科分类号：

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：13

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