19 research outputs found
New Cases of Integrable Systems with Dissipation on Tangent Bundles of Four-Dimensional Manifolds
VARIETY OF THE CASES OF INTEGRABILITY IN DYNAMICS OF A SYMMETRIC 2D-, 3D- AND 4D-RIGID BODY IN A NONCONSERVATIVE FIELD
A New Case of an Integrable System with Dissipation on the Tangent Bundle of a Multidimensional Sphere
A new family of phase patterns in three-dimensional dynamics of a solid body interacting with matter
ON INTEGRABILITY IN DYNAMIC PROBLEMS FOR A RIGID BODY INTERACTING WITH A MEDIUM
A complete analysis of the phase trajectories representing the motion of a rigid body in a resisting medium in quasistationary conditions is carried out. More general systems characterized by hidden nontrivial symmetries are studie