New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field
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Publication:735748
DOI10.1134/S1028335809030124zbMath1347.70010OpenAlexW2082364227MaRDI QIDQ735748
Publication date: 23 October 2009
Published in: Doklady Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1028335809030124
Dynamical systems in solid mechanics (37N15) Integrable cases of motion in rigid body dynamics (70E40)
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Integrable systems with variable dissipation on the tangent bundle of a sphere ⋮ Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere ⋮ New cases of integrability of equations of motion of a rigid body in the \(n\)-dimensional space ⋮ New examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres ⋮ Transcendental first integrals of dynamical systems on the tangent bundle to the sphere ⋮ Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. I ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. II ⋮ Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields
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