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P. Balseiro, L. García-Naranjo (2011)
Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic SystemsArchive for Rational Mechanics and Analysis, 205
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Chaplygin ball over a fixed sphere: an explicit integrationRegular and Chaotic Dynamics, 13
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Unimodularity and Preservation of Volumes
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The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphereRegular and Chaotic Dynamics, 18
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We introduce a class of dynamical systems having an invariant measure, the modifications of well-known systems on Lie groups: LR and L+R systems. As an example, we study a modified Veselova nonholonomic rigid body problem, considered as a dynamical system on the product of the Lie algebra so(n) with the Stiefel variety V n,r , as well as the associated єL+R system on so(n) × V n,r . In the 3-dimensional case, these systems model the nonholonomic problems of motion of a ball and a rubber ball over a fixed sphere.
Regular and Chaotic Dynamics – Springer Journals
Published: Oct 16, 2015
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