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This article is cited in 6 scientific papers (total in 6 papers)
Systems with dissipation with five degrees of freedom: Analysis and integrability. II. Dynamical systems on tangent bundles
M. V. Shamolin Lomonosov Moscow State University
Abstract:
The work contains the second and third parts of the survey on the integrability of systems with five degrees of freedom (the first part: Itogi Nauki Tekhn. Sovr. Mat. Prilozh. Temat. Obzory, 208, (2022), pp. 91–121). In the first part, the primordial problem from the dynamics of a multidimensional rigid body placed in a nonconservative force field was described in detail. In the second and third parts, we consider more general dynamical systems on tangent bundles to the five-dimensional sphere and other smooth manifolds of a sufficiently wide class. Theorems on sufficient conditions for the integrability of the considered dynamical systems in the class of transcendental functions are proved.
Keywords:
dynamical system with five degrees of freedom, integrability, transcendental first integral.
Citation:
M. V. Shamolin, “Systems with dissipation with five degrees of freedom: Analysis and integrability. II. Dynamical systems on tangent bundles”, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 209, VINITI, Moscow, 2022, 88–107
Linking options:
https://www.mathnet.ru/eng/into1006 https://www.mathnet.ru/eng/into/v209/p88
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