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This article is cited in 6 scientific papers (total in 6 papers)
Systems with four degrees of freedom with dissipation: analysis and integrability
M. V. Shamolin Lomonosov Moscow State University
Abstract:
This paper is a survey on integrable systems with four degrees of freedom whose phase spaces are tangent bundles of four-dimensional smooth manifolds. First, we discuss in detail the original problem from the dynamics of a multidimensional rigid body in a nonconservative force field; then we consider general dynamical systems on the tangent bundles of a sufficiently large class of smooth manifolds and prove sufficient conditions for the integrability of the dynamical systems considered in the class of transcendental.
Keywords:
dynamical system, integrability, transcendental first integral.
Citation:
M. V. Shamolin, “Systems with four degrees of freedom with dissipation: analysis and integrability”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 205, VINITI, Moscow, 2022, 55–94
Linking options:
https://www.mathnet.ru/eng/into957 https://www.mathnet.ru/eng/into/v205/p55
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Abstract page: | 155 | Full-text PDF : | 60 | References: | 49 |
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