What is a completely integrable nonholonomic dynamical system?

被引：28
作者：
Bates, L
Cushman, R
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
[2] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands
来源：
REPORTS ON MATHEMATICAL PHYSICS | 1999年 / 44卷 / 1-2期
关键词：
D O I：
10.1016/S0034-4877(99)80142-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We compare the geometry of a toral fibration defined by the common level sets of the integrals of a Liouville integrable Hamiltonian system with a toral fibration coming from a completely integrable nonholonomic system. We illustrate their differences using the following examples: the nonholonomic oscillator, Chaplygin's skate, Routh's sphere and the rolling oblate ellipsoid of revolution.
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收藏
页码：29 / 35
页数：7
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