Open AccessNew cases of integrable ninth-order systems with dissipation
Author(s) -
М. В. Шамолин
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524896592-598
Subject(s) - ninth , tangent bundle , integrable system , dissipation , tangent , homogeneous , order (exchange) , mathematics , mathematical analysis , classical mechanics , physics , geometry , quantum mechanics , tangent space , combinatorics , finance , acoustics , economics
The paper shows the integrability of certain classes of ninth-order dynamic systems that are homogeneous in part, in which the system on the tangent bundle to four-dimensional manifolds is distinguished. In this case, the force fields have various dissipation and generalize the previously considered ones.