Non-integrable Hamiltonian systems and the Heun equation
Françoise , Jean-Pierre ; Irigoyen, M.
HAL, hal-01403494 / Harvested from HAL
Text on HAL
We study a family of Hamiltonian systems which is a perturbation of the Calogero-Moser system. The presence of the coupling terms in the Hamiltonian makes the system non-integrable. We prove this non-integrability by using the monodromy group of the linearization of the complex flow around particular solutions and the stability of the associated Heun equation.
Publié le : 1993-04-04
Classification:  Hamiltonian Dynamical System,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01403494,
     author = {Fran\c coise , Jean-Pierre  and Irigoyen, M.},
     title = {Non-integrable Hamiltonian systems and the Heun equation},
     journal = {HAL},
     volume = {1993},
     number = {0},
     year = {1993},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01403494}
}

Françoise , Jean-Pierre ; Irigoyen, M. Non-integrable Hamiltonian systems and the Heun equation. HAL, Tome 1993 (1993) no. 0, . http://gdmltest.u-ga.fr/item/hal-01403494/