84 citations · 93 across the 2 of their papers we have counts for
2 papers
math-ph2004★ 9 cited
Integrable nonholonomic geodesic flows on compact Lie groups
Yuri N. Fedorov, Bozidar Jovanovic
This paper is a review of recent results on integrable nonholonomic geodesic flows of left--invariant metrics and left- and right--invariant constraint distributions on compact Lie…
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…