First integrals and Darboux polynomials of natural polynomial Hamiltonian systems

發布者:文明辦作者:發布時間:2019-10-30瀏覽次數:10


主講人:Jaume Llibre,巴塞羅那自治大學教授


時間:2019年10月31日9:00


地點:3號樓332


舉辦單位:數理學院


內容介紹: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.

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