%0 Journal Article
%T Polynomial and rational integrability of polynomial Hamiltonian systems
%A Jaume Llibre
%A Cristina Stoica
%A Claudia Valls
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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.
%K Polynomial Hamiltonian systems
%K polynomial first integrals
%K rational first integrals
%K Darboux polynomial
%U http://ejde.math.txstate.edu/Volumes/2012/108/abstr.html