(1) D. Novikov and S. Yakovenko,
Simple
exponential estimate for the number of real zeros of complete Abelian integrals,
Comptes Rendus Acad. Sci. Paris, serie I(Math.), 320 (1995), 853-858.
(2) D. Novikov and S.Yakovenko,
Simple
exponential estimate for the number of real zeros of complete Abelian integrals,
Ann. Inst. Fourier (Grenoble) 45
(1995), No. 4, 897-927.
(3) D. Novikov and S.Yakovenko,
A
complex analog of Rolle theorem and polynomial
envelopes of irreducible differential equations in the complex domain,
J.
London Math. Society (2) 56 (1997),305-319.
(4) D. Novikov and S. Yakovenko,
Integral
Frenet curvatures and oscillation of spatial curves
around affine subspaces of a Euclidean space,
Journal of Dynamical and
Control Systems 2 (1996) No. 2, 157-191.
(5) D. Novikov and S. Yakovenko,
Meandering
of trajectories of polynomial vector fields in the affine n-space,
Publicacions Matematiques 41 (1997) no.1, 223-242.
(6) D. Novikov and S. Yakovenko,
Trajectories
of polynomial vector fields and ascending chains of polynomial ideals,
Ann. Inst. Fourier (Grenoble) 49
(1999), no. 2, 563-609.
(7) D. Novikov and S. Yakovenko,
Tangential
Hilbert problem for perturbations of hyperelliptic
Hamiltonian systems,
Electron. Res. Announc.
Amer. Math. Soc. 5(1999), 55-65.
(8) D. Novikov and S. Yakovenko,
Redundant
Picard-Fuchs system for Abelian integrals,
J.Differential
Equations 177 (2001), no. 2,267-306.
(9) D. Novikov, Systems
of linear ordinary differential equations with bounded coefficients may have
very oscillating solutions,
Proc.Amer. Math. Soc.
129 (2001), no. 12, 3753-3755.
(10) D.Novikov, Modules
of Abelian integrals and Picard-Fuchs systems,
Nonlinearity 15 2002, no.5, 1435-1444.
(11) D. Novikov and S. Yakovenko,
Quasialgebraicity of solutions of Fuchsian
systems,
Moscow Mathematical Journal,
Volume 3 (2003), Number 2, 551-591
(12) D.Novikov and A. Khovanskii,
L-convex-concave
sets in real projective space and L-duality,
Moscow Mathematical Journal,
Volume 3 (2003), Number 3, 1013-1037
(13) D. Novikov and A. Khovanskii,
Convex-concave
body in RP3 contains a line,
GAFA, Geom. funct.anal. 13 (2003), 1082-1118
(14) A. Eremenko and D. Novikov,
Oscillation
of Fourier Integrals with a spectral gap,
J. Math. Pure
Appl., 83 (2004) 313-365
(15) A. Eremenko and D. Novikov,
Oscillation
of functions with a spectral gap,
Proc. Nat. Acad. Sci., 101,
16(2004),5872-5873
(16) D. Novikov and S. Yakovenko,
Lectures
on Meromorphic flat connections,
In: Y. Ilyashenko, C. Rousseau (eds),
Normal Forms, Bifurcations and Finiteness problems in Differential Equations, Kluwer 2004, 387-430.
(17) D. Novikov and A. Khovanskii,
On affine hypersurfaces with
everywhere nondegenerate Second Quadratic Form,
Moscow
Mathematical Journal 6 (1) 2006, p. 135-152.
(18) A. Gabrielov, D. Novikov and B Shapiro, Mystery of point charges, Proc. LMS, v.95 (2007) p.443-472.
(19) M. Jibladze, D. Novikov Unimodularity of Poincare polynomials of Lie algebras for semisimple singularities ,
Moscow Mathematical Journal, vol.7, n. 3 (2007), p. 481-487.
(20) Yu. D. Burago, S. G. Malev, D. I. Novikov, A direct proof of Gromov's theorem,
Zap. Nauchn. Sem. POMI, vol.353 (2008), p.14-26.
(21) D. Novikov, On limit cycles appearing by polynomial perturbation of Darbouxian integrable systems,
GAFA
vol.18 (2008) 1750-1773.
(22) D. Novikov, L. Gavrilov, On the finite cyclicity of open
period annuli,
Duke Math. J., vol.152, n.1 (2010), p.1-26
(23) M. Bobienski, P. Mardesic, D. Novikov, Pseudio-Abelian integrals: unfolding generic exponential case,
Journal of Differential Equations, vol. 247, 12 (2009), p. 3357-3376.
(24) G.
Binyamini, D. Novikov, S. Yakovenko, On the Number of Zeros of Abelian
Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth
Problem.
Inventiones mathematicae 181, no.2 (2010), p.227-289.
(25) S. Benditkis, D. Noikov, On the number of zeros of Melnikov functions,
submitted to Annales de la Faculte des Sciences de Toulouse Mathematique.
(26) M. Bobienski, P. Mardesic, D. Novikov, Pseudo-Abelian integrals on slow-fast Darboux systems, submitted to Annals of Institute Fourier.