Abstract
In this work, the integrability of some classes of dynamic systems on tangent bundles of threedimensional manifolds is demonstrated. The corresponding force fields possess the so-called variable dissipation and generalize those considered earlier.
Similar content being viewed by others
References
M. V. Shamolin, J. Math. Sci. 204 (4), 379 (2013).
M. V. Shamolin, Fundam. Prikl. Mat. 20 (4), 3 (2015).
M. V. Shamolin, Fundam. Prikl. Mat. 14 (3), 3 (2008).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry—Methods and Applications (Nauka, Moscow, 1979) [in Russian].
B. A. Dubrovin and S. P. Novikov, Dokl. Akad. Nauk SSSR 279 (2), 294 (1984).
M. V. Shamolin, Russ. Math. Surv. 53 (3), 637 (1998).
M. V. Shamolin, Dokl. Phys. 56 (3), 186 (2011).
M. V. Shamolin, Dokl. Phys. 57 (2), 78 (2012).
M. V. Shamolin, Dokl. Phys. 61 (12), 625 (2016).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.V. Shamolin, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 2, pp. 168–171.
Rights and permissions
About this article
Cite this article
Shamolin, M.V. New cases of integrable systems with dissipation on the tangent bundle of a three-dimensional manifold. Dokl. Phys. 62, 517–521 (2017). https://doi.org/10.1134/S1028335817110052
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335817110052