Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems

被引：85
作者：
Borisov, A. V. [1 ]
Mamaev, I. S. [1 ]
机构：
[1] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2008年 / 13卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
nonholonomic systems; implementation of constraints; conservation laws; hierarchy of dynamics; explicit integration;
D O I：
10.1134/S1560354708050079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper can be regarded as a continuation of our previous work [1, 2] on the hierarchy of the dynamical behavior of nonholonomic systems. We consider different mechanical systems with nonholonomic constraints; in particular, we examine the existence of tensor invariants (laws of conservation) and their connection with the behavior of a system. Considerable attention is given to the possibility of conformally Hamiltonian representation of the equations of motion, which is mainly used for the integration of the considered systems.
引用
收藏
页码：443 / 490
页数：48
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