Hamiltonization and Integrability of the Chaplygin Sphere in Rn

被引：25

作者：

Jovanovic, Bozidar ^{[1
]}

机构：

[1] Math Inst SANU, Belgrade 11000, Serbia

来源：

JOURNAL OF NONLINEAR SCIENCE | 2010年 / 20卷 / 05期

关键词：

Chaplying reducing multiplier; Nonholonomic reduction; Rolling sphere; Liouville integrability; NONHOLONOMIC SYSTEMS; SYMMETRY; FLOWS;

D O I：

10.1007/s00332-010-9067-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：25

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