Reduction of invariant constrained systems using anholonomic frames

Mathematics – Differential Geometry

Scientific paper

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19 pages

Scientific paper

10.3934/jgm.2011.3.23

We analyze two reduction methods for nonholonomic systems that are invariant under the action of a Lie group on the configuration space. Our approach for obtaining the reduced equations is entirely based on the observation that the dynamics can be represented by a second-order differential equations vector field and that in both cases the reduced dynamics can be described by expressing that vector field in terms of an appropriately chosen anholonomic frame.

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