A completely integrable Hamiltonian system
Calogero, F. ; Françoise , Jean-Pierre
HAL, hal-01408135 / Harvested from HAL
Text on HAL
The dynamical system characterized by the Hamiltonian H( q , p )=∑ j,k=1 n   p jp kf (q dj−q k ) with f(x)=λ+μ cos(νx)+μ′ sin(ν‖x‖) is completely integrable. Here n is an arbitrary positive integer and λ,μ,μ′,ν are 4 arbitrary constants (λ and μ real, μ′ and ν both real or both imaginary).
Publié le : 1996-07-04
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01408135,
     author = {Calogero, F. and Fran\c coise , Jean-Pierre },
     title = {A completely integrable Hamiltonian system},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01408135}
}

Calogero, F.; Françoise , Jean-Pierre . A completely integrable Hamiltonian system. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-01408135/