Yuri N. Fedorov

发表

On the Construction of Elliptic Solutions of Integrable Birational Maps

Matteo Petrera, Andreas Pfadler, Yuri B. Suris, 2014, Exp. Math..

Russian Nuclear Forces: Development and Perspectives

Yuri N. Fedorov, Dominique David, 2005 .

Unimodularity and Preservation of Volumes in Nonholonomic Mechanics

Yuri N. Fedorov, Juan C. Marrero, Luis C. García-Naranjo, 2013, J. Nonlinear Sci..

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

Yuri N. Fedorov, Bozidar Jovanovic, B. Jovanovic, 2003, J. Nonlinear Sci..

Auto-Bäcklund transformations and special integrals for differential-delay Painlevé hierarchies

P. R. Gordoa, Andrew Pickering, Yuri N. Fedorov, 2014, Commun. Nonlinear Sci. Numer. Simul..

Wave solutions of evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians

Yuri N. Fedorov, Mark S. Alber, 2000 .

The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's¶of Shallow Water and Dym Type

Jerrold E. Marsden, Darryl D. Holm, Yuri N. Fedorov, 2001, nlin/0105025.

Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics

Yuri N. Fedorov, B. Jovanovic, Božidar Jovanović, 2006 .

Discrete Nonholonomic LL Systems on Lie Groups

Yuri N. Fedorov, Dmitry V. Zenkov, D. Zenkov, 2004, math/0409415.

Dynamics of the discrete Chaplygin sleigh

Yuri N. Fedorov, Dmitry V. Zenkov, D. Zenkov, 2005 .

Integrable nonholonomic geodesic flows on compact Lie groups

Yuri N. Fedorov, Bozidar Jovanovic, 2003 .

Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians

Yuri N. Fedorov, Mark Alber, M. Alber, 2001 .

Dynamical systems on infinitely sheeted Riemann surfaces

Yuri N. Fedorov, David Gómez-Ullate, D. Gómez‐Ullate, 2006, nlin/0607028.

Steklov-Lyapunov type systems

Yuri N. Fedorov, A. Bolsinov, 2003 .

A discretization of the nonholonomic Chaplygin sphere problem.

Yuri N. Fedorov, 2006, nlin/0612037.

The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation

Yuri N. Fedorov, Luis C. Garc'ia-Naranjo, J. Vankerschaver, 2012, 1201.5054.

Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties

Yuri N. Fedorov, A. Hone, 2015, 1512.00056.

Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion

Yuri N. Fedorov, H. Braden, V. Enolski, 2012, 1210.3596.

Quasi-Chaplygin Systems and Nonholonimic Rigid Body Dynamics

Yuri N. Fedorov, B. Jovanovic, 2005, math-ph/0510088.

Systems with an Invariant Measure on Lie Groups

Yuri N. Fedorov, 1999 .

A discretization of the nonholonomic Chaplygin sphere problem.

Yuri N. Fedorov, 2006, nlin/0612037.

Integrable nonholonomic geodesic flows on compact Lie groups

Yuri N. Fedorov, B. Jovanović, 2004, math-ph/0408037.

Integrable systems on the sphere with elastic interaction potentials

Yuri N. Fedorov, V. Kozlov, 1994 .

Unimodularity and Preservation of Volumes in Nonholonomic Mechanics

Yuri N. Fedorov, L. García-Naranjo, J. Marrero, 2014, Journal of Nonlinear Science.

Closed Geodesics and Billiards on Quadrics Related to Elliptic KdV Solutions

Yuri N. Fedorov, S. Abenda, 2004, nlin/0412034.

Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability

Yuri N. Fedorov, B. Jovanović, 2010, 1011.1835.

Ju l 2 00 6 Dynamical systems on infinitely sheeted Riemann surfaces

Yuri N. Fedorov, D. Gómez‐Ullate, 2008 .

A new approach to separation of variables for the Clebsch integrable system. Part I: Reduction to quadratures

Yuri N. Fedorov, T. Skrypnyk, Yu. Fedorov, 2021, 2102.03445.

Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi–Mumford systems

Yuri N. Fedorov, B. Jovanović, 2015, Discrete & Continuous Dynamical Systems.

Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability

Yuri N. Fedorov, B. Jovanović, 2010, Mathematische Zeitschrift.

A shortcut to the Kovalevskaya curve via pencils of genus 3 curves

Yuri N. Fedorov, 2018 .

Three natural mechanical systems on Stiefel varieties

Yuri N. Fedorov, B. Jovanović, 2012, 1202.1660.

Chaplygin ball over a fixed sphere: an explicit integration

Yuri N. Fedorov, A. Borisov, I. Mamaev, 2008, 0812.4718.

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

Yuri N. Fedorov, B. Jovanović, 2003, J. Nonlinear Sci..

2 1 2 A ug 2 00 3 Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces ∗

Yuri N. Fedorov, 2003 .

Discrete nonholonomic LL systems on Lie groups

Yuri N. Fedorov, D. Zenkov, 2004, math/0409415.

The hydrodynamic Chaplygin sleigh

Yuri N. Fedorov, L. García-Naranjo, 2010, 1002.3810.

The sigma function over a family of curves with a singular fiber

Yuri N. Fedorov, S. Matsutani, E. Previato, 2022, Israel Journal of Mathematics.

An extended Abel–Jacobi map

Yuri N. Fedorov, H. Braden, 2007, math-ph/0701045.

A new approach to separation of variables for the Clebsch integrable system. Part II: Inversion of the Abel--Prym map

Yuri N. Fedorov, T. Skrypnyk, Yu. Fedorov, 2021, 2102.03599.

Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2)

Yu. N. Fedorov, Yuri N. Fedorov, V. Z. Enolski, 2014, Exp. Math..

Discrete Geodesic Flows on Stiefel Manifolds

Yuri N. Fedorov, B. Jovanović, 2020, Proceedings of the Steklov Institute of Mathematics.

Integrable flows and Bäcklund transformations on extended Stiefel varieties with application to the Euler top on the Lie group SO(3)

Yuri N. Fedorov, 2005, nlin/0505045.

Bäcklund Transformations on Coadjoint Orbits of the Loop Algebra

Yuri N. Fedorov, 2002 .

Homoclinic billiard orbits inside symmetrically perturbed ellipsoids

Yuri N. Fedorov, A. Delshams, R. Ram, 2001 .

An Ellipsoidal Billiard with a Quadratic Potential

Yuri N. Fedorov, 2001 .

2 1 Se p 20 04 Discrete Nonholonomic LL Systems on Lie Groups ∗

Yuri N. Fedorov, D. Zenkov, 2004 .

The Picard-Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system

Yuri N. Fedorov, Chara Pantazi, C. Pantazi, 2012, 1205.1676.

Hamiltonization of the generalized Veselova LR system

Yuri N. Fedorov, B. Jovanović, 2009 .

The generalized Euler–Poinsot rigid body equations: explicit elliptic solutions

Yuri N. Fedorov, M. Przybylska, A. Maciejewski, 2013, 1304.6072.

A ug 2 00 4 Integrable nonholonomic geodesic flows on compact Lie groups ∗

Yuri N. Fedorov, 2008 .

0 40 80 37 v 1 2 4 A ug 2 00 4 Integrable nonholonomic geodesic flows on compact Lie groups ∗

Yuri N. Fedorov, B. Jovanović, 2004 .

Эллипсоидальный биллиард с квадратичным потенциалом@@@An Ellipsoidal Billiard with a Quadratic Potential

Yuri N. Fedorov, Юрий Николаевич Федоров, 2001 .