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Structural aspects of Hamilton-Jacobi theory

Autor
Cariñena, J.F.; Gràcia, Xavier; Marmo, G.; Martínez, E.; Muñoz-Lecanda, Miguel C.; Roman-Roy, N.
Tipus d'activitat
Document cientificotècnic
Data
2015-11-01
Codi
arXiv:1511.00288
Projecte finançador
Aspectos Geom¿tricos en Mec¿nica, Control, Teor¿a de Campos y Gravitaci¿n
Geometr¿a de sistemas f¿sicos y de control y aplicaciones
URL
http://arxiv.org/abs/1511.00288 Obrir en finestra nova
Resum
In our previous papers [11,13] we showed that the Hamilton-Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. We also showed how constants of the motion help to solve the Hamilton-Jacobi equation. Here we want to delve into this interpretation by considering the most general case: a dynamical system on a manifold that is described in terms of a family of dynamics (`slicing vector fields'...
Paraules clau
Hamilton–jacobi Equation, Slicing Vector Field, Complete Solution, Constant Of The Motion.
Grup de recerca
DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions

Participants