First integrals and Darboux polynomials of natural polynomial Hamiltonian systems

主讲人：Jaume Llibre，巴塞罗那自治大学教授

时间：2019年10月31日9：00

地点：3号楼332

举办单位：数理学院

内容介绍：In this talk 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 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.