It is known that the reduced equations for an axially symmetric homogeneous ellipsoid that rolls without slipping on the plane possess a smooth invariant measure. We show that such an invariant measure does not exist in the case when all of the semi-axes of the ellipsoid have different length. © 2013 Pleiades Publishing, Ltd.

Non-existence of an invariant measure for a homogeneous ellipsoid rolling on the plane

Garcia-Naranjo L. C.;
2013

Abstract

It is known that the reduced equations for an axially symmetric homogeneous ellipsoid that rolls without slipping on the plane possess a smooth invariant measure. We show that such an invariant measure does not exist in the case when all of the semi-axes of the ellipsoid have different length. © 2013 Pleiades Publishing, Ltd.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3371754
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