New cases of integrable systems with dissipation on a tangent bundle of a multidimensional sphere

Аннотация

The integrability of certain classes of dynamic systems arising in the dynamics of a multidimensional solid and in the dynamics of a point on a tangent bundle of a multidimensional sphere is shown. In this case, the force fields under consideration have the so-called variable dissipation with zero average and generalize previously considered fields.