Polynomial and rational integrability of polynomial Hamiltonian systems

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.

Bibliographic Details
Main Authors: Jaume Llibre, Cristina Stoica, Claudia Valls
Format: Article
Language:English
Published: Texas State University 2012-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/108/abstr.html