Geodesic
Polynomial and rational integrability of polynomial Hamiltonian systems
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems.
Classification : 37J35, 37K10
Keywords: polynomial Hamiltonian systems, polynomial first integrals, rational first integrals, Darboux polynomial 
@article{EJDE_2012__2012__a99,
     author = {Llibre, Jaume and Stoica, Cristina and Valls, Claudia},
     title = {Polynomial and rational integrability of polynomial {Hamiltonian} systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a99/}
}
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%A Valls, Claudia
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Llibre, Jaume; Stoica, Cristina; Valls, Claudia. Polynomial and rational integrability of polynomial Hamiltonian systems. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a99/