Geodesic
Partial Differential Hamiltonian Systems
Canadian journal of mathematics, Tome 65 (2013) no. 5, pp. 1164-1200

Voir la notice de l'article provenant de la source Cambridge

DOI

We define partial differential ( $\text{PD}$ in the following), i.e., field theoretic analogues of Hamiltonian systems on abstract symplectic manifolds and study their main properties, namely, $\text{PD}$ Hamilton equations, $\text{PD}$ Noether theorem, $\text{PD}$ Poisson bracket, etc. Unlike the standard multisymplectic approach to Hamiltonian field theory, in our formalism, the geometric structure (kinematics) and the dynamical information on the “phase space” appear as just different components of one single geometric object.
DOI : 10.4153/CJM-2012-055-0
Mots-clés : 70S05, 70S10, 53C80, field theory, fiber bundles, multisymplectic geometry, Hamiltonian systems 
Vitagliano, Luca. Partial Differential Hamiltonian Systems. Canadian journal of mathematics, Tome 65 (2013) no. 5, pp. 1164-1200. doi: 10.4153/CJM-2012-055-0
@article{10_4153_CJM_2012_055_0,
     author = {Vitagliano, Luca},
     title = {Partial {Differential} {Hamiltonian} {Systems}},
     journal = {Canadian journal of mathematics},
     pages = {1164--1200},
     year = {2013},
     volume = {65},
     number = {5},
     doi = {10.4153/CJM-2012-055-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-055-0/}
}
TY  - JOUR
AU  - Vitagliano, Luca
TI  - Partial Differential Hamiltonian Systems
JO  - Canadian journal of mathematics
PY  - 2013
SP  - 1164
EP  - 1200
VL  - 65
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-055-0/
DO  - 10.4153/CJM-2012-055-0
ID  - 10_4153_CJM_2012_055_0
ER  - 
%0 Journal Article
%A Vitagliano, Luca
%T Partial Differential Hamiltonian Systems
%J Canadian journal of mathematics
%D 2013
%P 1164-1200
%V 65
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-055-0/
%R 10.4153/CJM-2012-055-0
%F 10_4153_CJM_2012_055_0

Cité par Sources :