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. © 2012 Texas State University - San Marcos.
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 26 Jun 2012|
- Darboux polynomial
- Polynomial Hamiltonian systems
- Polynomial first integrals
- Rational first integrals