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Lubomir Gavrilov
Lubomir Gavrilov
professeur, University Paul Sabatier, University of Toulouse
Verified email at math.univ-toulouse.fr - Homepage
Title
Cited by
Cited by
Year
The infinitesimal 16th Hilbert problem in the quadratic case
L Gavrilov
Inventiones mathematicae 143 (3), 449-497, 2001
1602001
Petrov modules and zeros of Abelian integrals
L Gavrilov
Bulletin des sciences mathematiques 122 (8), 571-584, 1998
1201998
The period function of a Hamiltonian quadratic system
WA Coppel, L Gavrilov
841993
Perturbations of quadratic centers of genus one
S Gautier, L Gavrilov, ID Iliev
arXiv preprint arXiv:0705.1609, 2007
742007
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
662005
Isochronicity of plane polynomial Hamiltonian systems
L Gavrilov
Nonlinearity 10 (2), 433, 1997
571997
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
532005
Quadratic perturbations of quadratic codimension-four centers
L Gavrilov, ID Iliev
Journal of mathematical analysis and applications 357 (1), 69-76, 2009
512009
The complex geometry of Lagrange top
L Gavrilov, A Zhivkov
arXiv preprint solv-int/9809012, 1998
511998
Remark on the number of critical points of the period
L Gavrilov
Journal of differential equations 101 (1), 58-65, 1993
511993
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
451999
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
402004
Second-order analysis in polynomially perturbed reversible quadratic Hamiltonian systems
L Gavrilov, ID Iliev
Ergodic Theory and Dynamical Systems 20 (6), 1671-1686, 2000
352000
Two-dimensional Fuchsian systems and the Chebyshev property
L Gavrilov, ID Iliev
Journal of Differential Equations 191 (1), 105-120, 2003
312003
Generalized Jacobians of spectral curves and completely integrable systems
L Gavrilov
Mathematische Zeitschrift 230 (3), 487-508, 1999
311999
Generalized Jacobians of spectral curves and completely integrable systems
L Gavrilov
Mathematische Zeitschrift 230 (3), 487-508, 1999
311999
The infinitesimal 16th Hilbert problem in dimension zero
L Gavrilov, H Movasati
Bulletin des sciences mathematiques 131 (3), 242-257, 2007
282007
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
281998
On the explicit solutions of the elliptic Calogero system
L Gavrilov, AM Perelomov
Journal of Mathematical Physics 40 (12), 6339-6352, 1999
241999
Hilbert’s 16th problem on a period annulus and Nash space of arcs
JP Françoise, L Gavrilov, D Xiao
Mathematical Proceedings of the Cambridge Philosophical Society 169 (2), 377-409, 2020
222020
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