| Perturbations of quadratic centers ID Iliev Bulletin des sciences mathematiques 122 (2), 107-161, 1998 | 174 | 1998 |
| On the number of limit cycles in perturbations of quadratic Hamiltonian systems E Horozov, ID Iliev Proceedings of the London Mathematical Society 3 (1), 198-224, 1994 | 152 | 1994 |
| Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians E Horozov, ID Iliev Nonlinearity 11 (6), 1521, 1998 | 118 | 1998 |
| Higher-order Melnikov functions for degenerate cubic Hamiltonians ID Iliev | 80 | 1996 |
| Perturbations of quadratic centers of genus one S Gautier, L Gavrilov, ID Iliev arXiv preprint arXiv:0705.1609, 2007 | 75 | 2007 |
| Higher order bifurcations of limit cycles ID Iliev, LM Perko Journal of differential equations 154 (2), 339-363, 1999 | 74 | 1999 |
| Spectral methods in soliton equations ID Iliev, E Khristov, KP Kirchev CRC Press, 1994 | 69 | 1994 |
| The cyclicity of the period annulus of the quadratic Hamiltonian triangle ID Iliev journal of differential equations 128 (1), 309-326, 1996 | 65 | 1996 |
| On second order bifurcations of limit cycles ID Iliev Journal of the London Mathematical Society 58 (2), 353-366, 1998 | 62 | 1998 |
| The number of limit cycles due to polynomial perturbations of the harmonic oscillator ID Iliev Mathematical Proceedings of the Cambridge Philosophical Society 127 (2), 317-322, 1999 | 55 | 1999 |
| Quadratic perturbations of quadratic codimension-four centers L Gavrilov, ID Iliev Journal of mathematical analysis and applications 357 (1), 69-76, 2009 | 53 | 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 | 53 | 2005 |
| Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops ID Iliev, C Li, J Yu Nonlinearity 18 (1), 305, 2004 | 52 | 2004 |
| Stability and instability of solitary waves for one-dimensional singular Schrödinger equations ID Iliev, KP Kirchev | 50 | 1993 |
| 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 | 41 | 2004 |
| On saddle-loop bifurcations of limit cycles in perturbations of quadratic Hamiltonian systems E Horozov, ID Iliev Journal of Differential Equations 113 (1), 84-105, 1994 | 40 | 1994 |
| Stability of periodic travelling shallow-water waves determined by Newton's equation S Hakkaev, ID Iliev, K Kirchev Journal of Physics A: Mathematical and Theoretical 41 (8), 085203, 2008 | 39 | 2008 |
| On the limit cycles available from polynomial perturbations of the Bogdanov-Takens Hamiltonian ID Iliev Israel Journal of Mathematics 115, 269-284, 2000 | 35 | 2000 |
| Second-order analysis in polynomially perturbed reversible quadratic Hamiltonian systems L Gavrilov, ID Iliev Ergodic Theory and Dynamical Systems 20 (6), 1671-1686, 2000 | 35 | 2000 |
| Stability of periodic traveling waves for complex modified Korteweg–de Vries equation S Hakkaev, ID Iliev, K Kirchev Journal of Differential Equations 248 (10), 2608-2627, 2010 | 32 | 2010 |
Lubomir Gavrilovprofesseur, University Paul Sabatier, University of ToulouseVerified email at math.univ-toulouse.fr
