6 research outputs found
Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics
We show that the Suslov nonholonomic rigid body problem can be regarded
almost everywhere as a generalized Chaplygin system. Furthermore, this provides
a new example of a multidimensional nonholonomic system which can be reduced to
a Hamiltonian form by means of Chaplygin reducing multiplier. Since we deal
with Chaplygin systems in the local sense, the invariant manifolds of the
integrable examples are not necessary tori.Comment: minor changes, to appear in Letters in Mathematical Physic