Abstract
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.
| Original language | English |
|---|---|
| Journal | Electronic Journal of Differential Equations |
| Volume | 2012 |
| Publication status | Published - 26 Jun 2012 |
Keywords
- Darboux polynomial
- Polynomial Hamiltonian systems
- Polynomial first integrals
- Rational first integrals