Geodesic
Polynomial and rational integrability of polynomial Hamiltonian systems
Electronic journal of differential equations, Tome 2012 (2012)
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},
     year = {2012},
     volume = {2012},
     zbl = {1333.37082},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a99/}
}
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AU  - Stoica,  Cristina
AU  - Valls,  Claudia
TI  - Polynomial and rational integrability of polynomial Hamiltonian systems
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
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%A Stoica,  Cristina
%A Valls,  Claudia
%T Polynomial and rational integrability of polynomial Hamiltonian systems
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a99/
%G en
%F EJDE_2012__2012__a99
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/