84 citations · 161 across the 4 of their papers we have counts for
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An Extended Abel-Jacobi Map
H. W. Braden, Yu. N. Fedorov
We solve the problem of inversion of an extended Abel-Jacobi map $$ \int_{P_{0}}^{P_{1}}ω+...+\int_{P_{0}}^{P_{g+n-1}}ω={\bf z}, \qquad \int_{P_{0}}^{P_{1}}Ω_{j1}+... +\int_{P_{0}}…
Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics
Yuri N. Fedorov, Bozidar Jovanovic
We show that the Suslov nonholonomic rigid body problem can be regarded almost everywhere as a generalized Chaplygin system. Furthermore, this provides a new example of a multidime…
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…
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…