Geodesic
Separation of variables on non-hiperelliptic curve
Russian journal of nonlinear dynamics, Tome 1 (2005) no. 1, pp. 53-67
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A 8-parametric pair of commuting Hamiltonians of two degrees of freedom, quadratic in moments and coefficients depending only on coordinates is constructed. The Schottky-Manakov and the Clebsch spinning tops are particular cases of this model. The action function as an integral on a non-hyperelliptic curve of genus 4 is found.
Keywords: Action function, separation of variables, covering of an elliptic curve. 
@article{ND_2005_1_1_a3,
     author = {V. G. Marikhin and V. V. Sokolov},
     title = {Separation of variables on non-hiperelliptic curve},
     journal = {Russian journal of nonlinear dynamics},
     pages = {53--67},
     year = {2005},
     volume = {1},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2005_1_1_a3/}
}
TY  - JOUR
AU  - V. G. Marikhin
AU  - V. V. Sokolov
TI  - Separation of variables on non-hiperelliptic curve
JO  - Russian journal of nonlinear dynamics
PY  - 2005
SP  - 53
EP  - 67
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ND_2005_1_1_a3/
LA  - ru
ID  - ND_2005_1_1_a3
ER  - 
%0 Journal Article
%A V. G. Marikhin
%A V. V. Sokolov
%T Separation of variables on non-hiperelliptic curve
%J Russian journal of nonlinear dynamics
%D 2005
%P 53-67
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/ND_2005_1_1_a3/
%G ru
%F ND_2005_1_1_a3
V. G. Marikhin; V. V. Sokolov. Separation of variables on non-hiperelliptic curve. Russian journal of nonlinear dynamics, Tome 1 (2005) no. 1, pp. 53-67. http://geodesic.mathdoc.fr/item/ND_2005_1_1_a3/