most citedNonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces

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math-ph2003★ 84 cited

Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces

Yuri N. Fedorov, Bozidar Jovanovic

We consider a class of dynamical systems on a Lie group with a left-invariant metric and right-invariant nonholonomic constraints (so called LR systems) and show that, under a…