One invariant measure and different poisson brackets for two non-holonomic systems

被引：0
|
作者：
Andrey V. Tsiganov
机构：
[1] St. Petersburg State University,
来源：
Regular and Chaotic Dynamics | 2012年 / 17卷
关键词：
non-holonomic mechanics; Chaplygin’s rolling ball; Poisson brackets; 37J60; 37J35; 53D17; 70E18; 70F25; 70H45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss the non-holonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for which symplectic forms are different deformations of the square root from the corresponding invariant volume form. In both cases second Poisson bivectors are determined by L-tensors with non-zero torsion on configuration space, in contrast with the well-known Eisenhart-Benenti and Turiel constructions.
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页码：72 / 96
页数：24
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