We study some properties of the k-symplectic Hamiltonian systems in analogy with the well-known classical Hamiltonian systems. The integrability of k-symplectic Hamiltonian systems and the relationships with the Nambu's statistical mechanics are given.
@article{urn:eudml:doc:44414,
title = {Syst\`emes hamiltoniens k-symplectiques.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {15},
year = {2002},
pages = {147-167},
zbl = {1023.37032},
mrnumber = {MR1915220},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44414}
}
Awane, Azzouz; Belam, Mohamed; Fikri, Sadik; Lahmouz, Mohammed; Naanani, Bouchra. Systèmes hamiltoniens k-symplectiques.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 147-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44414/