Jaume Llibre, Cristina Stoica, Claudia Valls
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.
Submitted January 26, 2012. Published June 26, 2012.
Math Subject Classifications: 37J35, 37K10.
Key Words: Polynomial Hamiltonian systems; polynomial first integrals;
rational first integrals; Darboux polynomial.
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Jaume Llibre Departament de Matematiques Universitat Autònoma de Barcelona 08193 Bellaterra, Barcelona Catalonia, Spain email: jllibre@mat.uab.cat |
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| Cristina Stoica Department of Mathematics, Wilfrid Laurier University Waterloo, N2L 3C5, Ontario, Canada email: cstoica@wlu.ca | |
| Cláudia Valls Departamento de Matemática, Instituto Superior Técnico Universidade Técnica de Lisboa Av. Rovisco Pais, 1049--001, Lisboa, Portugal email: cvalls@math.ist.utl.pt |
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