On invariant manifolds of nonholonomic systems

被引：0
|
作者：
Valery V. Kozlov
机构：
[1] Russian Academy of Sciences,V.A. Steklov Mathematical Institute
来源：
Regular and Chaotic Dynamics | 2012年 / 17卷
关键词：
invariant manifold; Lamb’s equation; vortex manifold; Bernoulli’s theorem; Helmholtz’ theorem; 70Hxx; 37J60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Invariant manifolds of equations governing the dynamics of conservative nonholonomic systems are investigated. These manifolds are assumed to be uniquely projected onto configuration space. The invariance conditions are represented in the form of generalized Lamb’s equations. Conditions are found under which the solutions to these equations admit a hydrodynamical description typical of Hamiltonian systems. As an illustration, nonholonomic systems on Lie groups with a left-invariant metric and left-invariant (right-invariant) constraints are considered.
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页码：131 / 141
页数：10
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