96 citations · 525 across the 27 of their papers we have counts for
4 papers · 1 filter
Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion
H. W. Braden, V. Z. Enolski, Yu. N. Fedorov
We present an algebraic geometrical and analytical description of the Goryachev case of rigid body motion. It belongs to a family of systems sharing the same properties: although c…
The Picard Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system
Yuri Fedorov, Chara Pantazi
We consider a family of genus 2 hyperelliptic curves of even order and obtain explicitly the system of 5 linear ODEs for periods of the corresponding Abelian integrals of first, se…
Three natural mechanical systems on Stiefel varieties
Yuri N. Fedorov, Bozidar Jovanović
We consider integrable generalizations of the spherical pendulum system to the Stiefel variety for a certain metric. For the case of V(n,2) an alternative in…
The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation
Yuri N. Fedorov, Luis C. García-Naranjo, Joris Vankerschaver
We consider the motion of a planar rigid body in a potential flow with circulation and subject to a certain nonholonomic constraint. This model is related to the design of underwat…