List of publications
 Regular polygones in E^{n}, Vestnik MGU, ser. mat.
mech.,
1962, no 8, p. 1824.
 Generation of limit cycles under the perturbation of the
equation dw/dz=R_{z}/R_{w}, where R(z,w) is a polynomial, Math. Sbornik, 1969,
v.78, N 3, p.360373.
 Example of equations dw/dz = P (z,w)/Q (z,w) having infinite
number of limit cycles and arbitrary high PetrovskiiLandis
genus, Math. Sbornik, 1969, v.80, N 3, p.388404.
 Multivalued functions on commutative normed rings, Vestnik
MGU, ser. mat., 1969, no. 5, p. 811.
 Nonalgebricity of the set of differential equations with
the rational right hand side having multiple limit cycles, Math,
Sbornik,
1970, v.83, N3, p.452456.
 Distraction of cycles in the foliations to analytic curves,
Math. Sbornik, 1972, v.67, N 1, p.5866.
 Algebraic nonsolvability and almost algebraic solvability
of the centerfocus problem., Funct. Anal. Appl., 1972, v.6,
N 3, p. 3037.
 Foliations by analytic curves, Math. Sbornik, . 1972, v.88
N 4, p.558577.
 On the problems of rectification and cycle formation, Math.
Sbornik, 1973, vol.90, no.2, p.184195.
 Nondegenerate Bgroups, Docl. Acad. Nauk SSSR, tom 208
(1973), no 3, 207209.
 (with Khovanskii) Galois theory for Fuchsian systems of
differential equations with small coefficients, Preprint of the
Institute of
applied mathematics, no 117, 1974, Moscow.
 Analytic nonsolvability of the problem of Liapunov stability
and topological classification for singular points of analytic
systems of differential equations, Math. Sbornik, 1976, v.99,
N.2, p.162175.
 Some remarks on the topology of singular points of analytic
differential equations in the complex domain and the theorem
of Ladis, 1977, v.11, N 2, p.2838.
 On zeros of special Abelian integrals in the real domain,
Funct. Anal. and Pril. 1977, v.11, N 4, p.7879.
 Multiplicity of limit cycles occurring under the perturbation
of the Hamiltonian equations of the class P_{2}/Q_{1} in
the real and complex plane, Trudy sem. im. I.G.Petrovskogo,
v.3, 1978, p. 2940.
 The topology of phase portraits of analytic differential
equations in the complex projective plane, Trudy sem. im. I.G.Petrovskogo,
v.4, 1978, p.83136 , English transl. Selecta Math. Sov., v.5,
1986, 141199.
 Global and local aspects of the theory of complex diffe
rential equations. Proceedings of International Congress of
Mathematicians. Helsinki, 1978, p.821826.
 Divergence of the series that transform an analytic differential
equation to the linear normal form at a singular point, Funct.
Anal. and Pril. 1979, v.13, N 3, p.8788.
 (with Piartli) Zero type neighborhoods of embedded complex
tori, Trudy sem. im. I.G.Petrovskogo, 1979, v. 5, p.8595.
 (with Piartli) Materialization of Poincare resonances
and divergence of normalizing series, Trudy sem. im. I.G.Petrovskogo,
1981, v.7, p.349.
 In the normal forms theory under breaking of A.D.Brjuno
conditions divergence is a rool and convergence is an exception,
Vestnik MGU,
ser. mat., 1981, no. 5, p. 1016.
 (with Piartli) Materialization of Poincare resonances
and divergence of normalizing series for polynomial differential
equations,
Trudy sem. im. I.G.Petrovskogo, 1982, v 8, p.111127.
 (with Chetaev) On the dimension of attractors of some
dissipative systems, Appl. Math. Mech., 1982, v.46, N 3, p.374381.
 Positive type embeddings of elliptic curves to complex
surfaces, Trudy MMO, 1982, v.46, p. 3767.
 Weakly contracting systems and attractors of Galiorkin
approximations of the NavierStokes equations on the twotorus,
International
Mech. Surveys, 1982, v.5, N 1, p.3163, transl. in Selecta
Math. Sov., v. 11 N 3, p. 203239.
 Singular points and limit cycles of differential equations
in the real and complex plane, Preprint NIVTS AN SSSR, Pushchino,
1982, 38 p.
 (with Piartli) A polynomial vector field with singular
points of Poincaré type only, Funct. Anal. Appl., 1983,
v.17, N.4, p.8485.
 (with Elizarov) Remarks on orbital analytic classification
of germs of vector fields, Math. Sbornik, 1983, v. 121, N 3
p.111126.
 On the dimension of attractors of kcontracting evolutionary
systems in infinite dimensional spaces, Vestnik MGU, ser. math.,
1983, N 3, p. 52  59.
 Limit cycles of polynomial vector fields with nondegenerated
singular points in the real plane, Funct. Anal. Appl., 1984,
v.18, N.3, p.3242.
 The finiteness problem for limit cycles of polynomial
vector fields on the plane, germs of saddle resonant vector fields
and
nonHausdorff Riemann surfaces. In Lecture Notes in Math; 1060,
1984.
 Dulac's memoir "On limit cycles" and related topics of
the theory of differential equations, Russian Math. Surveys,
1985,
v.40, N.6, p.4178.
 (with Arnold) Ordinary differential equations. In Encyclopedia
of Mathematical Sciences, v 1, Moscow 1985, Springer 1986.
 (with Arnold, Afraimovich, Shil'nikov) Bifurcation theory.
In Encyclopedia of Mathematical Sciences, v 5, Moscow 1986,
Springer 1994.
 A criterion of steepness for analytic functions, Russian
Math. Surveys, 1986, v.41, N.1, p.193194.
 Separatrix bilaterals for planar vector fields, Vestnik
MGU, ser. Math., 1986, N 4, p.2531.
 Algebraically and analytically solvable local problems
in theory of ordinary differential equations, Trudy sem. im.
I.G.Petrovskogo,
1987, v 12, p. 118136.
 Singular points of vector fields (sceintific commentary),
in the book: I.G.Petrovskii, Selected papers, Moskow, Nauka,
1987, 373402.
 Limit cycles in real and complex planes (sceintific commentary),
in the book: I.G.Petrovskii, Selected papers, Moskow, Nauka,
1987, 402418.
 (with Khovanskii) Galois groups, Stokes operators and
Ramis theorem, Funct. Anal. and Appl., 1990, v.24, N 3, p.3142.
 Finiteness theorems for limit cycles, Russian Math. Surveys,
1990, v.45, N 2, p.143200.
 Stability of the equilibrium points in hamiltonian systems
with two degrees of freedom. Publication de l'Institut de Recherche
Mathematique Avancee, 1990, 437, 11p.
 Finiteness theorem for limit cycles. Proceedings of International
Congress of Mathematicians, Kyoto, 1990, v.11, p.12591270.
 Finiteness theorems for limit cycles. Amer. Math. Soc.,
Transl. vol.94, 1991, 288 p. 45. Nonlinear Stokes Phenomena,
in the book:
Dynamical systems and related topics (Nagoya 1990), 155165,
World Sci. Publ, NJ, 1991.
 (with Yakovenko) Smooth normal forms for local families
of diffeomorphisms and vector fields, Russian Math. Surveys,
1991,
v.46, N 1, p.339.
 Relaxation fast linear oscillations, Russian Math. Surveys,
1991, v.46, N 2, p.217218.
 The concept of minimal attractors and maximal attractors
of partial differential equations of the KuramotoSivashinski
type. Chaos 1, 1991, N2, p.168173.
 Global analysis of the phase portrait for the Kuramoto
Sivashinski equation. Journal of dynamics and Dif. Equations.,
1992, vol.4,
N 4, p. 585615.
 Local dynamics and nonlocal bifurcations, in the book:
Bifurcations and periodic orbits of vector fields (Montreal,
PQ, 1992), 279319,
Kluwer, 1993.
 Editor of: Nonlinear Stokes Phenomena, series "Advances
in Soviet Mathematics", v.14, Amer. Math. Soc., 1993, 287 p.
 Nonlinear Stokes Phenomena, p. 155, in the book [51].
 (with Elizarov, Shcherbakov, Voronin) Finitely generated
groups of germs of onedimensional conformal mappings, and
invariants for complex singular points of analytic foliations
of the complex
plane, p. 57106, in the book [51].
 (with Yakovenko) Nonlinear Stokes Phenomena in smooth
classification problems, p.235287, in the book [51].
 (with Yakovenko) Finite cyclicity of elementary polycycles.
C.R.Acad.Sci., Paris, Serie 1, 316, 1993, p.10811086.
 Normal forms for local families and nonlocal bifurcations.
Complex analytic methods in dynamical systems, Asterisque,
1994, 222, p.233258.
 (with Piartly) Monodromy group at infinity of generic
polynomial vector field in the complex projective plane, Russian
Journal of
Math. Physics v.2 n 3, 275 315.
 Editor (with Yakovenko) of: Conerning Hilbert 16th problem,
AMS, 1995, 219 pp.
 (with Yakovenko) Concerning Hilbert sixteenth problem,
p. 120, in the book [58].
 (with Yakovenko) Finite cyclicity of elementary polycycles,
in the book [58], pp. 2196.
 (with Yakovenko ) Double exponential estimate for the
number of real zeros of complete Abelian Integral, Invenciones
Matematicae,
1995, 25, 673695.
 (with Kotova) Smale's horseshoe. Mathematical footwear
that left an imprint, Quantum, 1995, vol. 5, no 5, 1318.
 (with Yakovenko ) Counting real zeros of function satisfying
linear differential equations, Journal of Differential Equations,
vol. 126. no 1, 1996, p. 87105.
 (with Arkhipov A.) Jump of energy from low harmoniks to
the high ones in the multidimensional KuramotoSivashinski equation,
Selecta Mathematica formerly Sovietica, 1994, 13, 183 196.
 Limit cycles and nonlinear Stokes phenomena, p. 723,
in the book: The Stokes phenomenon and Hilbert's 16th problem,
World
Scientific, 1996.
 Editor of: Differential equations with real and complex
time, collection of papers, proceedings of the Steklov Instisute,
v.
213, 1996.
 The nonlinear RiemannHilbert problem, in the book [66],
pp. 629.
 (with Piartli) Rational differential equations with a
nonfree monodromy group at infinity, in the book [66], pp. 5067.
 (with Shcherbakov) On skew cylinders and simultaneous
uniformization, in the book [66], p. 104114.
 (with Gorodetski), Minimal and strange attractors, International
Journal of Bifurcation and Chaos, 1996, v. 6, N 6, 11771183.
 Embedding theorems for local maps, slowfast systems and
bifurcations from MorseSmale to SmaleWilliams, in the book "Topics
in singularities theory, V.I.Arnold's 60th anniversary collection",
AMS Transl. ser 2, vol.180, 1997, p.127149.
 (with Anosov, Aranson, Arnold, Bronstein, Grines) Ordinary
differential equations and smooth dynamical systems, Springer,
1997, 233 p.
 (with Li Weigu), Nonlocal Bifurcations, a Monograph, published
by AMS, ser. Mathematical surveys and Monographs, 1998, vol.66.
 Covering manifolds for analytic families of leaves of
foliations by analitic curves, Topological Methods in Nonlinear
Analysis,
1998, v.11, 361373.
 (with Blinchevskaya) Estimate for the entropy dimension
of the maximal attractor for kcontracting systems in an infinitedimensional
space, Russian Journal of Math. Physics, 1999, v.6, N1, pp.2026.
 (with Kaloshin) Bifurcation of planar and spatial polycycles:
Arnold's program and its development, in: Proccedings of the
Arnoldfest, Fields Institute Communications v.24, 1999, 241271.
 (with M. Saprykina) Embedding theorems for local families
and oscilatory slowfast systems, in: Progress in Nonlinear
Science, v 1, Nizhny Novgorod, Russia, 2002, 389410.
 (with Gorodetski) Some new robust properties of invariant
sets and attractors of dynamical systems, Funct. Anal. Appl.,
1999, v. 33, n 2, 1632.
 (with Li Weigu), Nonlocal Bifurcations, a Monograph, Russian
translation, edited, MCCME, CheRo, 1999.
 Hilbert type numbers for Abel equations, growth and zeroes
of holomorphic functions, Nonlinearity, v. 13, 2000, 13371342.
 (with A. Gorodetski) Some properties of skew products
over a horseshoe and solenoid, Procedings of the Steklov Institute,
v 231, 2000, 96118.
 (with F.Dumortier and C.Rousseau) Normal forms near a
saddlenode and applications to finite cyclicity of graphics,
ETDS, v 22, 2002,
783818
 (with J.Guckenheimer) The duck and the devil: canards
on the staircase, Moscow Mathematical Journal, v 1, no 1, 2001,
2747
 (with A.Panov), Some upper estimates of the number of
limit cycles of planar vector fields with applications to Lienard
equation,
Moscow Mathematical Journal, v 1, no 4, 2001, 583599
 Centennial history of Hilbert's 16th problem, Bull AMS,
v 39, no 3, 2002, 301354
 (with V. Moldavskis) MorseSmale diffeomorphisms of a
circle and moduli of elliptic curves, Moscow Mathematical Journal,
v 3,
no 2, 2003, pp 110
 (with G. Buzzard and S, Hruska), KupkaSmale theorem for
polynomial automorphisms of \Bbb C^{2} and persistence
of heteroclinic intersections, to appear
 Selected topics in differential equations with real and
complex time, in book "Normal forms, bifurcations and finiteness
problems in differential equations," Kluwer, to appear
 (with P. Hamke and S. Tabachnikov) Bringing Eastern European
Mathematical Traditions to North American Students, Notices
of the AMS, November 2003.

