Un nouvel algorithme pour la recherche des coordonnées de séparation est testé sur l'exemple de la toupie de Kowalevski.
A new algorithm for finding separation coordinates is tested on the example of Kowalevski's top.
DOI :
https://doi.org/10.5802/aif.2156
Classification : 70H06, 70E40, 37J35
Mots clés : séparation des variables
Classification : 70H06, 70E40, 37J35
Mots clés : séparation des variables
@article{AIF_2005__55_6_2147_0, author = {Magri, Franco}, title = {The Kowalevski's top and the method of Syzygies}, journal = {Annales de l'Institut Fourier}, pages = {2147--2159}, publisher = {Association des Annales de l'institut Fourier}, volume = {55}, number = {6}, year = {2005}, doi = {10.5802/aif.2156}, zbl = {02230072}, mrnumber = {2187950}, language = {en}, url = {www.numdam.org/item/AIF_2005__55_6_2147_0/} }
Magri, Franco. The Kowalevski's top and the method of Syzygies. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2147-2159. doi : 10.5802/aif.2156. http://www.numdam.org/item/AIF_2005__55_6_2147_0/
[1] Sur le problème de la rotation d'un corps solide autour d'un point fixe, Acta Mathematica, Volume 12 (1889) | JFM 21.0935.01
[2] Inquiry into the geometry of separable systems (in preparation)