Integrability of the n-centre problem at high energies
Knauf, A. ; Taimanov, I. A.
arXiv, 0312429 / Harvested from arXiv
Text on arXiv
It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using $C^\infty$ integrals of the motion however it is not integrable in terms of real analytic functions
Publié le : 2003-12-23
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{0312429,
     author = {Knauf, A. and Taimanov, I. A.},
     title = {Integrability of the n-centre problem at high energies},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312429}
}

Knauf, A.; Taimanov, I. A. Integrability of the n-centre problem at high energies. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312429/