Poincare-Cartan integral variants and invariants of nonholonomic constrained systems

Citation
Yx. Guo et al., Poincare-Cartan integral variants and invariants of nonholonomic constrained systems, INT J THEOR, 40(6), 2001, pp. 1197-1205
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
0020-7748 → ACNP
Volume
40
Issue
6
Year of publication
2001
Pages
1197 - 1205
Database
ISI
SICI code
0020-7748(200106)40:6<1197:PIVAIO>2.0.ZU;2-V
Abstract
Usually there does not exist an integral invariant of Poincare-Cartan's typ e for a nonholonomic system because a constraint submanifold does not admit symplectic structure in general. An integral variant of Poincare-Cartan's type, depending on the nonholonomy of the constraints and nonconservative f orces acting on the system, is derived from D'Alembert-Lagrange principle. For some nonholonomic constrained mechanical systems, there exists an alter native Lagrangian which determines the symplectic structure of a constraint submanifold. The integral invariants can then be constructed for such syst ems.