(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. Novikov,
On the number of zeros of Melnikov functions,
Annales de la
Faculte des Sciences de Toulouse Mathematique, 20, no.3 (2011), p. 465-491.
(26) D. Novikov, C. Rousseau, Y. Saint-Aubin, Les spheres de Dandelin, Accromath, 6, 2011, p.2-7
(27) G. Binyamini, D. Novikov, S. Yakovenko, Quasialgebraic Functions Algebraic methods in dynamical systems, 61-81, Banach Center Publ., 94, Polish Acad. Sci. Inst. Math., Warsaw, 2011.
(28) G.Binyamini, D. Novikov, Intersection multiplicities of Noetherian functions. Adv. Math. 231 (2012), no. 6, 3079-3093.
(29) M. Bobienski, P. Mardesic, D. Novikov, Pseudo-Abelian integrals on slow-fast Darboux systems, Annals of Institute Fourier 63, no. 2 (2013), p. 417-430.
(30) G.Binyamini, D. Novikov, Multiplicity Operators. Israel J. Math. 210 (2015), no. 1, 101-124.
(31) G. Binyamini, D. Novikov, Multiplicities of Noetherian Deformations, GAFA 25 (2015), no. 5, 1413-1439.
(32) D. Novikov, B. Shapiro, On global non-oscillation of linear ordinary differential equations with polynomial coefficients, J. Differential Equations 261 (2016), no. 7, 3800-3814.
(33) D. Novikov, B. Shapiro, A tropical analog of Descartes' rule of signs, International Mathematics Research Notices Vol. 2016, No. 00, pp. 125, doi:10.1093/imrn/rnw118.
(34) S. Malev, D. Novikov, Linear Estimate for the Number of Zeros of Abelian Integrals, Qual. Theory Dyn. Syst. (2016) doi:10.1007/s12346-016-0213-0.
(35) G. Binyamini, D. Novikov, The Pila-Wilkie theorem for subanalytic families: a complex analytic approach, Compositio Mathematica (2017).
(36) G. Binyamini, D. Novikov, Wilkie's conjecture for restricted elementary functions, Ann. of Math. (2) 186 (2017), no. 1, 237-275.
(37) P. Mardesic, D.Novikov, L. Ortiz-Bobadilla, J. Pontigo-Herrera, Bounding the length of iterated integrals of the first nonzero Melnikov function, Moscow Mathematical Journal 18 (2018), no. 2, 367-386.
(38) P. Mardesic, D.Novikov, L. Ortiz-Bobadilla, J. Pontigo-Herrera, Godbillon-Vey sequence and Francoise algorithm, Bull. Sci. Math. 153 (2019), 72-85..
(39) G. Binyamini, D. Novikov, Complex Cellular Structures, Ann. of Math. (2) 190 (2019), no. 1, 145-248.
(40) P. Mardesic, D.Novikov, L. Ortiz-Bobadilla, J. Pontigo-Herrera, Infinite orbit depth and length of Melnikov functions, Ann. Inst. H. Poincare C Anal. Non Lineaire 36 (2019), no. 7, 1941-1957.
(41) G. Binyamini, D. Novikov, The Yomdin-Gromov algebraic lemma revisited, Arnold Math. J. 7 (2021), no. 3, 419-430.
(42) P. Mardesic, D.Novikov, L. Ortiz-Bobadilla, J. Pontigo-Herrera, Nilpotence of orbits under monodromy and the length of Melnikov functions, Phys. D 427 (2021), Paper No. 133017, 6 pp.
(43) G. Binyamini, D. Novikov, Tameness in geometry and arithmetic: beyond o-minimality. Proc. Int. Cong. Math. 2022, Vol. 3, pp. 1440-1461. EMS Press, Berlin, 2023 https://doi.org/10.4171/icm2022/117.
(44) G. Binyamini, R. Cluckers, D. Novikov, Point counting and Wilkie's conjecture for non-Archimedean Pfaffian and Noetherian functions, Duke Math. J. (2022) 171(9): 1823-1842.
(45) D. Novikov, B. Shapiro, G. Tahar, On limit sets for geodesics of meromorphic connections, J. Dyn. Control Syst. 29 , 55-70 (2023) https://doi.org/10.1007/s10883-021-09584-9.
(46) G. Binyamini, D. Novikov, B. Zak Wilkie's conjecture for Pfaffian structures, to appear in Annals of Math (2024)
(47) P. Alexandersson, N. Hemmingsson, D. Novikov, B. Shapiro, G. Tahar, Linear first order differential operators and their Hutchinson-invariant sets, to appear in J. Diff. Eq. (2024)
(48) D. Novikov, S. Yakovenko, Rolle models in the real and complex world, to appear in Handbook of Geometry and Topology of Singularities V: Foliations.