# American Institute of Mathematical Sciences

March  2011, 3(1): 23-40. doi: 10.3934/jgm.2011.3.23

## Reduction of invariant constrained systems using anholonomic frames

 1 Department of Mathematics, Ghent University, Krijgslaan 281, S9, B-9000 Gent, Belgium, Belgium

Received  October 2010 Revised  April 2011 Published  April 2011

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.
Citation: Mike Crampin, Tom Mestdag. Reduction of invariant constrained systems using anholonomic frames. Journal of Geometric Mechanics, 2011, 3 (1) : 23-40. doi: 10.3934/jgm.2011.3.23
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