Hamiltonization and Integrability of the Chaplygin Sphere in ℝn

被引：0

作者：

Božidar Jovanović

机构：

[1] Mathematical Institute SANU,

来源：

Journal of Nonlinear Science | 2010年 / 20卷

关键词：

Chaplying reducing multiplier; Nonholonomic reduction; Rolling sphere; Liouville integrability; 37J60; 37J35; 70H45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies a natural n-dimensional generalization of the classical nonholonomic Chaplygin sphere problem. We prove that for a specific choice of the inertia operator, the restriction of the generalized problem onto a zero value of the SO(n−1)-momentum mapping becomes an integrable Hamiltonian system after an appropriate time reparametrization.

引用

页码：569 / 593

页数：24

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