|
Examples of nine-order integrable dynamical systems with dissipation
M. V. Shamolin Lomonosov Moscow State University
Abstract:
In this paper, the integrability of some classes of homogeneous with respect to a part of variables ninth-order dynamical systems, in which a system on the tangent bundle to four-dimensional manifolds is distinguished. In this case, force fields have a dissipation of different signs and are generalizations of those considered earlier.
Keywords:
dynamical system, nonconservative force fields, integrability, transcendental first integral.
Citation:
M. V. Shamolin, “Examples of nine-order integrable dynamical systems with dissipation”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187, VINITI, Moscow, 2020, 68–81; J. Math. Sci. (N. Y.), 287:5 (2025), 754–766
Linking options:
https://www.mathnet.ru/eng/into733 https://www.mathnet.ru/eng/into/v187/p68
|
| Statistics & downloads: |
| Abstract page: | 273 | | Full-text PDF : | 135 | | References: | 72 |
|