INVESTIGADORES
GRILLO Sergio Daniel
artículos
Título:
Extended Hamilton-Jacobi theory, contact manifolds, and integrability by quadratures
Autor/es:
SERGIO GRILLO; EDITH PADRÓN
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Año: 2020
ISSN:
0022-2488
Resumen:
A Hamilton?Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper, weshall apply such a theory to contact Hamiltonian systems, as those appearing in thermodynamics and on geodesic flows in fluid mechanics.We first study the partial and complete solutions of the Hamilton?Jacobi equation related to these systems. Then, we show that, for agiven contact system, the knowledge of what we have called a complete pseudo-isotropic solution ensures the integrability by quadraturesof its equations of motion. This extends to contact manifolds a recent result obtained in the context of general symplectic and Poissonmanifolds.
