Maxim V. Shamolin, "Integrability of Differential Equations of Motion of an n-Dimensional Rigid Body in Nonconservative Fields for n = 5 and n = 6," WSEAS Transactions on Systems, vol. 19, pp. 271-283, 2020, DOI:10.37394/23202.2020.19.31
Maxim V. Shamolin. Integrability of Differential Equations of Motion of an n-Dimensional Rigid Body in Nonconservative Fields for n = 5 and n = 6.
WSEAS Transactions on Systems. 2020;19:271-283. 10.37394/23202.2020.19.31
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 19, 2020
Integrability of Differential Equations of Motion of an n-Dimensional Rigid Body in Nonconservative Fields for n = 5 and n = 6
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Abstract: In this review, we discuss new cases of integrable systems on the tangent bundles of finite-dimensional spheres. Such systems appear in the dynamics of multidimensional rigid bodies in nonconservative fields. These problems are described by systems with variable dissipation with zero mean. We found several new cases of integrability of equations of motion in terms of transcendental functions (in the sense of the classification of singularities) that can be expressed as finite combinations of elementary functions.
Pages: 271-283 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #31 DOI: 10.37394/23202.2020.19.31
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