TY - JOUR
T1 - First integrals and Darboux polynomials of natural polynomial Hamiltonian systems
AU - García, Isaac A.
AU - Grau, Maite
AU - Llibre, Jaume
PY - 2010/10/25
Y1 - 2010/10/25
N2 - In this Letter we study some aspects of the relationship between the existence of Darboux polynomials and additional polynomial first integrals in natural polynomial Hamiltonian systems with a finite number of degrees of freedom. More precisely, first we improve results of the paper of Maciejewski and Przybylska [A.J. Maciejewski, M. Przybylska, Phys. Lett. A 326 (2004) 219]; and after we answer two open questions presented in that paper. © 2010 Elsevier B.V.
AB - In this Letter we study some aspects of the relationship between the existence of Darboux polynomials and additional polynomial first integrals in natural polynomial Hamiltonian systems with a finite number of degrees of freedom. More precisely, first we improve results of the paper of Maciejewski and Przybylska [A.J. Maciejewski, M. Przybylska, Phys. Lett. A 326 (2004) 219]; and after we answer two open questions presented in that paper. © 2010 Elsevier B.V.
KW - Darboux polynomial
KW - Hamiltonian system
KW - Polynomial first integral
KW - Polynomial potential
U2 - 10.1016/j.physleta.2010.09.060
DO - 10.1016/j.physleta.2010.09.060
M3 - Article
SN - 0375-9601
VL - 374
SP - 4746
EP - 4748
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 47
ER -