Speaker: Jaume Llibre, professor from Universitat Autònoma de Barcelona
Ti First integrals and Darboux polynomials of natural polynomial Hamiltonian systems
me: 9 a.m., October 31st, 2019
Place: Room 332, NO. 3 Building
Sponsor: SHNU College of Mathematics and Mechanical Engineering
Content: In this talk we study some aspects of the relationship between the existence of Darboux polynomials and additional polynomial first integrals in naturalpolynomial Hamiltonian systems with a finite number of degrees of freedom. More precisely, first we improve results of the paper of A.J. Maciejewski and M.Przybylska, Darboux polynomials and first integrals of natural polynomial Hamiltonian systems, Phys. Lett. A 326 (2004), 219-226; and after we answer four open questions presented in that paper.