| The infinitesimal 16th Hilbert problem in the quadratic case L Gavrilov Inventiones mathematicae 143 (3), 449-497, 2001 | 160 | 2001 |
| Petrov modules and zeros of Abelian integrals L Gavrilov Bulletin des sciences mathematiques 122 (8), 571-584, 1998 | 121 | 1998 |
| The period function of a Hamiltonian quadratic system WA Coppel, L Gavrilov | 86 | 1993 |
| Perturbations of quadratic centers of genus one S Gautier, L Gavrilov, ID Iliev arXiv preprint arXiv:0705.1609, 2007 | 80 | 2007 |
| Higher order Poincaré-Pontryagin functions and iterated path integrals L Gavrilov Annales de la Faculté des sciences de Toulouse: Mathématiques 14 (4), 663-682, 2005 | 65 | 2005 |
| Isochronicity of plane polynomial Hamiltonian systems L Gavrilov Nonlinearity 10 (2), 433, 1997 | 58 | 1997 |
| Quadratic perturbations of quadratic codimension-four centers L Gavrilov, ID Iliev Journal of mathematical analysis and applications 357 (1), 69-76, 2009 | 56 | 2009 |
| The displacement map associated to polynomial unfoldings of planar Hamiltonian vector fields L Gavrilov, ID Iliev American Journal of Mathematics 127 (6), 1153-1190, 2005 | 54 | 2005 |
| Remark on the number of critical points of the period L Gavrilov Journal of differential equations 101 (1), 58-65, 1993 | 52 | 1993 |
| The complex geometry of Lagrange top L Gavrilov, A Zhivkov arXiv preprint solv-int/9809012, 1998 | 50 | 1998 |
| Complete hyperelliptic integrals of the first kind and their non-oscillation L Gavrilov, I Iliev Transactions of the American Mathematical Society 356 (3), 1185-1207, 2004 | 47 | 2004 |
| Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields L Gavrilov Annales de l'institut Fourier 49 (2), 611-652, 1999 | 46 | 1999 |
| Second-order analysis in polynomially perturbed reversible quadratic Hamiltonian systems L Gavrilov, ID Iliev Ergodic Theory and Dynamical Systems 20 (6), 1671-1686, 2000 | 36 | 2000 |
| Two-dimensional Fuchsian systems and the Chebyshev property L Gavrilov, ID Iliev Journal of Differential Equations 191 (1), 105-120, 2003 | 33 | 2003 |
| Generalized Jacobians of spectral curves and completely integrable systems L Gavrilov Mathematische Zeitschrift 230 (3), 487-508, 1999 | 32 | 1999 |
| The infinitesimal 16th Hilbert problem in dimension zero L Gavrilov, H Movasati Bulletin des sciences mathematiques 131 (3), 242-257, 2007 | 28 | 2007 |
| Nonoscillation of elliptic integrals related to cubic polynomials with symmetry of order three L Gavrilov Bulletin of the London Mathematical Society 30 (3), 267-273, 1998 | 28 | 1998 |
| Hilbert’s 16th problem on a period annulus and Nash space of arcs J Françoise, L Gavrilov, D Xiao Mathematical Proceedings of the Cambridge Philosophical Society 169 (2), 377-409, 2020 | 23 | 2020 |
| On the explicit solutions of the elliptic Calogero system L Gavrilov, A Perelomov arXiv preprint solv-int/9905011, 1999 | 23 | 1999 |
| Perturbations of quadratic Hamiltonian two-saddle cycles L Gavrilov, ID Iliev Annales de l'IHP Analyse non linéaire 32 (2), 307-324, 2015 | 21 | 2015 |
Iliya D. IlievInstitute of mathematics, Bulgarian Academy of SciencesVerified email at math.bas.bg
