A Generalization of the Poincaré-Cartan Integral Invariant for a Nonlinear Nonholonomic Dynamical System
| dc.creator | Ahmed, Naseer | |
| dc.creator | Usman, Muhammad | |
| dc.date | 2007-09-17 | |
| dc.date | 2007-09-28 | |
| dc.date.accessioned | 2026-07-07T08:32:30Z | |
| dc.date.available | 2026-07-07T08:32:30Z | |
| dc.description | Based on the d'Alembert-Lagrange-Poincaré variational principle, we formulate general equations of motion for mechanical systems subject to nonlinear nonholonomic constraints, that do not involve Lagrangian undetermined multipliers. We write these equations in a canonical form called the Poincaré-Hamilton equations, and study a version of corresponding Poincaré-Cartan integral invariant which are derived by means of a type of asynchronous variation of the Poincaré variables of the problem that involve the variation of the time. As a consequence, it is shown that the invariance of a certain line integral under the motion of a mechanical system of the type considered characterizes the Poincaré-Hamilton equations as underlying equations of the motion. As a special case, an invariant analogous to Poincaré linear integral invariant is obtained. | |
| dc.identifier | https://arxiv.org/abs/0709.2523 | |
| dc.identifier | http://arxiv.org/abs/0709.2523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138811 | |
| dc.subject | Mathematical Physics | |
| dc.title | A Generalization of the Poincaré-Cartan Integral Invariant for a Nonlinear Nonholonomic Dynamical System | |
| dc.type | text |