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Integrable systems with dissipation and finitely many degrees of freedom

TitleIntegrable systems with dissipation and finitely many degrees of freedom
AuthorsM. V. Shamolin1
1Lomonosov Moscow State University
Annotation We establish the integrability for some classes of dynamic systems on the tangent bundles of multidimensional manifolds. We consider the case where the force fields possess variable dissipation. An example of a four-dimensional manifold is discussed in detail.
Keywordsdynamical system, variable dissipation, integrability, transcendental first integral.
CitationShamolin M. V. ''Integrable systems with dissipation and finitely many degrees of freedom'' [Electronic resource]. Proceedings of the XIV International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 9-12, 2019). Saransk: SVMO Publ, 2019. - pp. 160-172. Available at: http://conf.svmo.ru/files/2019/papers/paper42.pdf. - Date of access: 28.10.2020.