Enolski, V. Z.; Fedorov, Yu. N.; Hone, A. N. W. Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system. (English) Zbl 1346.14096 J. Geom. Phys. 87, 106-114 (2015). Reviewer: Shigeki Matsutani (Nagasaki) MSC: 14H70 70H06 37J35 PDFBibTeX XMLCite \textit{V. Z. Enolski} et al., J. Geom. Phys. 87, 106--114 (2015; Zbl 1346.14096) Full Text: DOI arXiv
Fedorov, Yuri; Pantazi, Chara The Picard-Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system. (English) Zbl 1298.14037 J. Math. Phys. 55, No. 3, 032703, 8 p. (2014). Reviewer: Bujar Fejzullahu (Presevo) MSC: 14H70 34M03 34M56 37J35 PDFBibTeX XMLCite \textit{Y. Fedorov} and \textit{C. Pantazi}, J. Math. Phys. 55, No. 3, 032703, 8 p. (2014; Zbl 1298.14037) Full Text: DOI arXiv
Fedorov, Yuri N.; Jovanović, Božidar Geodesic flows and Neumann systems on Stiefel varieties: geometry and integrability. (English) Zbl 1255.53064 Math. Z. 270, No. 3-4, 659-698 (2012). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D25 37Jxx 70H06 70H33 70H45 PDFBibTeX XMLCite \textit{Y. N. Fedorov} and \textit{B. Jovanović}, Math. Z. 270, No. 3--4, 659--698 (2012; Zbl 1255.53064) Full Text: DOI arXiv
Fedorov, Yuri; Basak, Inna Separation of variables and explicit theta-function solution of the classical Steklov-Lyapunov systems: a geometric and algebraic geometric background. (English) Zbl 1263.37072 Regul. Chaotic Dyn. 16, No. 3-4, 374-395 (2011). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 70E40 70H06 70G55 14H40 14K25 14H42 PDFBibTeX XMLCite \textit{Y. Fedorov} and \textit{I. Basak}, Regul. Chaotic Dyn. 16, No. 3--4, 374--395 (2011; Zbl 1263.37072) Full Text: DOI arXiv
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S. Chaplygin ball over a fixed sphere: an explicit integration. (English) Zbl 1229.37080 Regul. Chaotic Dyn. 13, No. 6, 557-571 (2008). MSC: 37J60 37J35 70H45 70F25 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 13, No. 6, 557--571 (2008; Zbl 1229.37080) Full Text: DOI arXiv
Fedorov, Yuri N. A discretization of the nonholonomic Chaplygin sphere problem. (English) Zbl 1193.37087 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 044, 15 p. (2007). MSC: 37J60 37J35 70H45 70E18 70F25 PDFBibTeX XMLCite \textit{Y. N. Fedorov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 044, 15 p. (2007; Zbl 1193.37087) Full Text: DOI arXiv EuDML EMIS
Fedorov, Yuri N.; Jovanović, Božidar Žarko Integrable nonholonomic geodesic flows on compact Lie groups. (English) Zbl 1329.37058 Bolsinov, A. V. et al., Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-904868-42-2/hbk). 115-152 (2006). MSC: 37J60 37D40 37J35 53D25 70F25 70H45 PDFBibTeX XMLCite \textit{Y. N. Fedorov} and \textit{B. Ž. Jovanović}, in: Topological methods in the theory of integrable systems. Cambridge: Cambridge Scientific Publishers. 115--152 (2006; Zbl 1329.37058) Full Text: arXiv
Fedorov, Yuri N.; Jovanović, Božidar Žarko Quasi-Chaplygin systems and nonholonomic rigid body dynamics. (English) Zbl 1209.70013 Lett. Math. Phys. 76, No. 2-3, 215-230 (2006). MSC: 70F25 37J60 70H45 70H33 70G45 70E18 PDFBibTeX XMLCite \textit{Y. N. Fedorov} and \textit{B. Ž. Jovanović}, Lett. Math. Phys. 76, No. 2--3, 215--230 (2006; Zbl 1209.70013) Full Text: DOI arXiv
Abenda, Simonetta; Fedorov, Yuri Closed geodesics and billiards on quadrics related to elliptic KdV solutions. (English) Zbl 1122.37041 Lett. Math. Phys. 76, No. 2-3, 111-134 (2006). MSC: 37J10 37J35 70G55 14H70 37D40 70H05 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{Y. Fedorov}, Lett. Math. Phys. 76, No. 2--3, 111--134 (2006; Zbl 1122.37041) Full Text: DOI arXiv
Fedorov, Y. N.; Jovanović, Božidar Žarko Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces. (English) Zbl 1125.37045 J. Nonlinear Sci. 14, No. 4, 341-381 (2004). MSC: 37J60 37J35 70F25 70H06 70H45 PDFBibTeX XMLCite \textit{Y. N. Fedorov} and \textit{B. Ž. Jovanović}, J. Nonlinear Sci. 14, No. 4, 341--381 (2004; Zbl 1125.37045) Full Text: DOI arXiv
Fedorov, Yu. Integrable systems, Poisson pencils, and hyperelliptic Lax pairs. (English. Russian original) Zbl 0985.37060 J. Math. Sci., New York 94, No. 4, 1501-1511 (1999); translation from Zap. Nauchn. Semin. POMI 235, 87-103 (1996). MSC: 37J35 37N05 70H06 70E40 70E45 PDFBibTeX XMLCite \textit{Yu. Fedorov}, J. Math. Sci., New York 94, No. 4, 1 (1996; Zbl 0985.37060); translation from Zap. Nauchn. Semin. POMI 235, 87--103 (1996) Full Text: DOI EuDML
Borisov, A. B.; Fedorov, Yu. N. On two modified integrable problems in dynamics. (English. Russian original) Zbl 0925.70097 Mosc. Univ. Mech. Bull. 50, No. 6, 16-18 (1995); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 6, 102-105 (1995). MSC: 70E15 70F25 37J35 37K10 70H05 PDFBibTeX XMLCite \textit{A. B. Borisov} and \textit{Yu. N. Fedorov}, Mosc. Univ. Mech. Bull. 50, No. 6, 16--18 (1995; Zbl 0925.70097); translation from Vestn. Mosk. Univ., Ser. I 1995, No. 6, 102--105 (1995)
Kozlov, V. V.; Fedorov, Yu. N. Integrable systems on the sphere with elastic interaction potentials. (English. Russian original) Zbl 0854.70013 Math. Notes 56, No. 3, 927-930 (1994); translation from Mat. Zametki 56, No. 3, 74-79 (1994). Reviewer: F.Cardin (Padova) MSC: 70H99 37J35 37K10 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{Yu. N. Fedorov}, Math. Notes 56, No. 3, 927--930 (1994; Zbl 0854.70013); translation from Mat. Zametki 56, No. 3, 74--79 (1994) Full Text: DOI
Fedorov, Yu. N. Two integrable nonholonomic systems in classical dynamics. (English. Russian original) Zbl 0703.70015 Mosc. Univ. Mech. Bull. 44, No. 4, 7-12 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 4, 38-41 (1989). MSC: 70F25 37J99 PDFBibTeX XMLCite \textit{Yu. N. Fedorov}, Mosc. Univ. Mech. Bull. 44, No. 4, 7--12 (1989; Zbl 0703.70015); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 4, 38--41 (1989)