[1] On the integrable cases of the equations of heavy gyrostat (in russian), L.Gavrilov, Annuaire de l'Université de Sofia, Mecanique, vol.80(1986).
[2] Invariant asymptotic stable tori in the perturbed sine-Gordon equation, L.Gavrilov, Serdica, vol.13 (1987) 26-51.
[3] Explicit solutions of Gorjatchev-Tchaplygin top, L.Gavrilov, Compt.Rend.Acad.Bulg.Sci., vol.40, No 4, 19-22 (1987).
[4] On the Geometry of Gorjatchev-Tchaplygin top, L.Gavrilov, Compt.Rend.Acad.Bulg.Sci., vol. 40, No 9, 33-36 (1987).
[5] Non-integrability of a class of differential equations which are not of Painleve type, L.Gavrilov, Compt.Rend.Acad.Bulg.Sci., vol. 41, No 3, 21-24 (1988).
[6] Note on the generalized Henon-Heiles system, L.Gavrilov, Compt.Rend.Acad.Bulg.Sci., vol. 41, No 8, 29-32 (1988).
[7] Bifurcations of invariant manifolds in the generalized Henon-Heiles system, L.Gavrilov, Physica D34, 223-239 (1989).
[8] Remarks on the equations of heavy gyrostat, L.Gavrilov, Compt.Rend.Acad.Bulg.Sci., vol. 42, No 5, 17-20 (1989).
[9] A Lax pair for the generalized Henon-Heiles system, L.Gavrilov, 7th Czechoslovak Copnference on Differential Equations and Their Applications EQUADIFF7, Abstracts I, p.67, Praha 1989.
[10] Non-integrability of the equations of heavy gyrostat, L.Gavrilov, Compositio Mathematica 82 (1992) 275-291.
[11] Limit cycles and zeroes of Abelian integrals satisfying third order Picard-Fuchs equations, L.Gavrilov, E.Horozov, in J.-P. Franoise and R. Roussarie (Eds), Bifurcations of Planar Vector Fields, Lecture Notes in Mathematics, vol.1455, 160-186, Springer-Verlag, 1990.
[12] Remark on the number of critical points of the period, L. Gavrilov, J. Differential Equations, 101 (1993) 58-65.
[13] Limit cycles of perturbations of quadratic Hamiltonian vector fields, L.Gavrilov, E.Horozov, J. de Mathmatiques Pure et Appliques, 72,1993, 213 - 238.
[14] Bi-Hamiltonian structure of an integrable Hnon-Heiles system, R.Caboz, V.Ravoson, L.Gavrilov, J. Physics A: Math.Gen. 24 (1991) L523-L525.
[15] Bifurcations des tores de Liouville
du potentiel de Kolosoff U = r + 1/r - k.cos(j), L.Gavrilov,
M.Ouazzani-Jamil, R.Caboz,
C.R.Acad.Sci. Paris, t. 315,
Serie I, p.289-294, 1992.
[16] Bifurcation diagrams and Fomenko's
surgery on Liouville tori of the Kolossof potential U= r + 1/r -
k.cos(j), L.Gavrilov, M.Ouazzani-Jamil, R.Caboz,
Annales Sci. de l'Ecole Norm. Sup., 4e serie, 26,1993, 545 - 564.
[17] The period function of a Hamiltonian quadratic system, W.A. Coppel, L.Gavrilov, Integral and Differential Equations, 6 (1993) 1357-1365.
[18] Separability and Lax pairs for Hnon - Heiles system, V.Ravoson, L.Gavrilov, R.Caboz, J.Math.Physics 34, No 6, p.2385-2393,1993.
[19] On the topology of polynomials in two complex variables, preprint No 45, Laboratoire de Topologie et Gometrie, UPS, Toulouse, 1994 (non-published).
[20] Isochronism of plane polynomial hamiltonian systems, L.Gavrilov, Nonlinearity 10 (1997) 433-448.
[21] The complex geometry of Lagrange top, L.Gavrilov, A. Zhivkov, l'Enseignement Mathematique, 44 (1998) 133-17.
[22] Generalized Jacobians of spectral curves and completely integrable systems, L.Gavrilov, Math. Zeitschrift, 230, 487-508 (1999)
[23] Integrable systems and algebraic groups, L.Gavrilov, in J.Chavarriga, J.Gin (Eds), Proc.of 3th Catalan Days of Applied Math., p.81-92, Lleida, Spain, 1996.
[24] Petrov modules and zeros of Abelian integrals, L.Gavrilov, Bull. des Sciences Math., 122 (1998) 571-584.
[25] Nonoscillation of elliptic integrals related to cubic polynomials of order three, L.Gavrilov, Bull. London Math. Soc., 30 (1998) 267-273.
[26] The real period function of A3 singularity, L.Gavrilov, O. Vivolo, Comp. Mathematica 123 (2000), no. 2, 167--184
[27] Modules of Abelian integrals, L. Gavrilov, Proc.of 4th Catalan Days of Applied Math., p.35-46, Tarragona, Spain, 1998.
[28] Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields, L. Gavrilov, Annales de l'Institut Fourier 49 (1999) 611-652.
[29] Second order analysis in polynomially perturbed reversible quadratic vector fields, L. Gavrilov, I.D. Iliev, Erg. Theory & Dyn. Systems, (2000),20, 1671-1686.
[30] On the explicit solutions of the elliptic Calogero system, L. Gavrilov, A.Perelomov, J. Math. Physics, 40 (1999), no. 12, 6339--6352.
[31] The infinitesimal 16th Hilbert problem in the quadratic case, L. Gavrilov, Invent. Math. 143, 449-497 (2001).
[32] Bifurcations of limit cycles from infinity in quadratic systems, L. Gavrilov, I.D. Iliev, Canadian J. Math. 54 (2002) 1038-1064.
[33] Jacobians of singularized spectral
curves and completely integrable systems, L. Gavrilov, in
"Kovalevski property", CRM
Proceedings and Lectures Notes, Vol. 32, 59-68 (2002), AMS, Ed. V.
Kuznetsov.
[34] Two
dimensional Fuchsian systems and the Chebishev property, L. Gavrilov,
I.D. Iliev, J. Diff. Eqns. , 191
(2003) 105-120.