New cases of integrable systems with dissipation on tangent bundles of two- and three-dimensional spheres
Integrability in elementary functions is demonstrated for some classes of dynamic systems on tangent bundles of two- and three-dimensional spheres. The force fields possess the so-called variable dissipation with a zero mean and generalize those considered earlier.
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- 1.M. V. Shamolin, Methods of Analysis of Dynamic Systems with Variable Dissipation in Solid Body Dynamics (Ekzamen, Moscow, 2007) [in Russian].Google Scholar
- 2.M. V. Shamolin, in Itogi Nauki Tekh., Ser.: Sovr. Mat. Prilozh. (VINITI, Moscow, 2013), Vol. 125, pp. 3–251 [in Russian].Google Scholar
- 6.B. V. Shabat, Introduction to Complex Analysis (Nauka, Moscow, 1987) [in Russian].Google Scholar
- 7.E. Kamke, Handbook of Ordinary Differential Equations (Nauka, Moscow, 1971).Google Scholar