Complete integrability of equations of motion of a spatial pendulum placed in an incident medium

zbMath1051.70509MaRDI QIDQ1866879

M. V. Shamolin

Publication date: 23 April 2003

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

accumulating flowintegrability of equations of motionspatial pendulum

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (12)

Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force ⋮ New cases of integrability of equations of motion of a rigid body in the \(n\)-dimensional space ⋮ Jacobi dynamics. Many-body problem in integral characteristics ⋮ Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field ⋮ Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force ⋮ Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications ⋮ Integrable systems on the tangent bundle of a multi-dimensional sphere ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. I ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. II ⋮ Phase portraits of dynamical equations of motion of a rigid body in a resistive medium ⋮ Integrable dynamical systems with dissipation on tangent bundles of 2D and 3D manifolds ⋮ Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields

This page was built for publication: Complete integrability of equations of motion of a spatial pendulum placed in an incident medium