Reduction of a Hamilton — Jacobi Equation for Nonholonomic Systems

We discuss, in all generality, the reduction of a Hamilton — Jacobi theory for systems subject to nonholonomic constraints and invariant under the action of a group of symmetries. We consider nonholonomic systems subject to both linear and nonlinear constraints and with different positioning of such...

Descripción completa

Detalles Bibliográficos
Autores: Esen, Oğul, León, Manuel de, Sardón, Cristina, Jiménez Morales, Víctor Manuel
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/12549
Acceso en línea:https://hdl.handle.net/20.500.14468/12549
Access Level:acceso abierto
Palabra clave:Hamilton-Jacobi
theory of reduction
nonholonomic systems
constrained systems
almost Poisson manifolds
skew algebroids
symplectic reduction
coisotropic reduction
Marsden-Weinstein reduction
Descripción
Sumario:We discuss, in all generality, the reduction of a Hamilton — Jacobi theory for systems subject to nonholonomic constraints and invariant under the action of a group of symmetries. We consider nonholonomic systems subject to both linear and nonlinear constraints and with different positioning of such constraints with respect to the symmetries.