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Ilyashenko, Yulij Sergeevich

Author ID: ilyashenko.yulij-s Recent zbMATH articles by "Ilyashenko, Yulij Sergeevich"
Published as: Il’yashenko, Yu. S.; Ilyashenko, Yu.; Ilyashenko, Yu. S.; Ilyashenko, Yulij; Ilyashenko, Yu; Ilyashenko, Yulij S.; Il’yashenko, Ju. S.; Ilyashenko, Y.; Ilyashenko, Yuli S.; Il’yashenko, Y. S.; Il’yashenko, Yuliĭ; Il’yashenko, Yulij; Il’yasenko, J. S.; Ilyashenko, Yuliǐ; Ilyashenko, Yu S.
Homepage: http://www.mccme.ru/~yulijs/index.html
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
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Co-Authors

83 single-authored
11 Tsfasman, Michael A.
10 Arnol’d, Vladimir Igorevich
10 Pyartli, A. S.
10 Yakovenko, Sergei
8 Lando, Sergei K.
7 Khovanskiĭ, Askold Georgievich
6 Sosinskiĭ, Alekseĭ Bronislavovich
6 Vasil’ev, Viktor Anatol’evich
5 Gorodetskii, Anton Semenovich
5 Kondrat’ev, Vladimir Aleksandrovich
5 Kozlov, Valeriĭ Vasil’evich
5 Sinaĭ, Yakov Grigor’evich
4 Gusein-Zade, Sabir M.
4 Oleĭnik, Ol’ga Arsen’evna
4 Vishik, Marko Iosifovich
3 Afraimovich, Valentin S.
3 Fuchs, Dmitry Borisovich
3 Khibnik, Alexander I.
3 Manin, Yuriĭ Ivanovich
3 Shcherbakov, A. A.
3 Tikhomirov, Vladimir Mikhaĭlovich
3 Treshchev, Dmitriĭ Valer’evich
2 Anosov, Dmitriĭ Viktorovich
2 Aptekarev, Alexander Ivanovich
2 Arkhipov, Alexander M.
2 Arlazarov, Vladimir L’vovich
2 Astashova, Irina Viktorovna
2 Borisyuk, Roman M.
2 Bukhshtaber, Viktor Matveevich
2 Chechkin, Gregory Aleksandrovich
2 Elizarov, P. M.
2 Gerver, M. L.
2 Gonchenko, Sergey V.
2 Grines, Vyacheslav Zigmundovich
2 Ibragimov, A. I.
2 Kalashnikov, Anatoliĭ Sergeevich
2 Kazaryan, Maxim Eduardovich
2 Kleptsyn, Victor A.
2 Kon’kov, Andrej A.
2 Krichever, Igor’ Moiseevich
2 Lerman, Lev
2 Lunin, V. Yu.
2 Mishchenko, Evgeniĭ Frolovich
2 Moldavskis, Vadims
2 Negut, Andrei
2 Neĭshtadt, Anatoliĭ Iserovich
2 Nikolaev, Eugene V.
2 Novikov, Sergeĭ Petrovich
2 Pesin, Yakov Borisovich
2 Radkevich, Evgeniĭ Vladimirovich
2 Roitberg, M. A.
2 Rousseau, Christiane
2 Rozov, Nikolaĭ Khristovich
2 Rybnikov, Leonid Grigor’evich
2 Semënov, Alekseĭ L’vovich
2 Sergeev, Igor’ Nikolaevich
2 Shamaev, Alexei S.
2 Shilnikov, Leonid Pavlovich
2 Shlosman, Senya B.
2 Solodovnikov, Nikita A.
2 Turaev, Dmitry V.
2 Yaschenko, Ivan V.
1 Abramov, Aleksandr Mikhailovich
1 Afendikov, Andrei Leonidovich
1 Agranovich, Mikhail Semënovich
1 Akhmet’ev, Pëtr Mikhaĭlovich
1 Anashkin, Oleg V.
1 Aranson, Samuil Khaĭmovich
1 Arzhantsev, Ivan Vladimirovich
1 Ataullakhanov, Fazoil I.
1 Bagirov, Lev A.
1 Balabaev, N. K.
1 Balandin, Dmitriĭ Vladimirovich
1 Barinova, Marina Konstantinovna
1 Belykh, Vladimir Nikitich
1 Bezdenezhnykh, A. N.
1 Biktashev, Vadim N.
1 Biktasheva, I. V.
1 Blinchevskaya, M. A.
1 Bolsinov, Alexey V.
1 Borovskikh, A. V.
1 Bronshteĭn, Idel Usherovich
1 Bugaenko, V. O.
1 Bunimovich, Leonid Abramovich
1 Buzzard, Gregery T.
1 Bykov, Vladimir Vladislavovich
1 Chebochko, N. G.
1 Cherkassky, Boris V.
1 Chernavskiĭ, Alekseĭ Viktorovich
1 Chetaev, A. N.
1 Chilina, Ekaterina Evgen’evna
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Dagkesamanskii, R. D.
1 Davydov, Alekseĭ Aleksandrovich
1 Demidov, Alexandre Sergeevich
1 Dinitz, E. A.
1 Dorichenko, S. A.
1 Drinfeld, Vladimir Gershonovich
1 Dukov, Andrei V.
1 Dumortier, Freddy
...and 175 more Co-Authors
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Serials

21 Moscow Mathematical Journal
16 Russian Mathematical Surveys
12 Functional Analysis and its Applications
8 Mathematics of the USSR, Sbornik
7 Matematicheskiĭ Sbornik. Novaya Seriya
6 Trudy Seminara Imeni I. G. Petrovskogo
5 Proceedings of the Steklov Institute of Mathematics
4 Moscow University Mathematics Bulletin
4 Nonlinearity
4 Funktsional’nyĭ Analiz i ego Prilozheniya
4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Inventiones Mathematicae
3 Journal of Soviet Mathematics
3 Journal of Fixed Point Theory and Applications
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Selecta Mathematica Sovietica
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 Chaos
2 Translations of Mathematical Monographs
2 Translations. Series 2. American Mathematical Society
1 Applicable Analysis
1 Journal of Applied Mathematics and Mechanics
1 Matematicheskie Zametki
1 Journal of Differential Equations
1 Soviet Mathematics. Doklady
1 Transactions of the Moscow Mathematical Society
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Ergodic Theory and Dynamical Systems
1 Publicacions Matemàtiques
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Topological Methods in Nonlinear Analysis
1 Selecta Mathematica
1 Mathematical Research Letters
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 European Mathematical Society Newsletter
1 Doklady Mathematics
1 Regular and Chaotic Dynamics
1 Journal of Dynamical and Control Systems
1 Advances in Soviet Mathematics
1 Graduate Studies in Mathematics
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 London Mathematical Society Lecture Note Series
1 Mathematical Surveys and Monographs
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Translations. Series 2. American Mathematical Society
1 Russian Journal of Nonlinear Dynamics

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 1,412 times in 1,065 Documents Cited by Year
Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017
Ilyashenko, Yu.
224
2002
Lectures on analytic differential equations. Zbl 1186.34001
Ilyashenko, Yulij; Yakovenko, Sergei
222
2008
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
58
1991
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
49
1991
Ordinary differential equations. Zbl 0659.58012
Arnol’d, V. I.; Il’yashenko, Yu. S.
48
1988
Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074
Il’yashenko, Ju. S.
31
1992
Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036
Il’yashenko, Yu. S.
30
1991
Nonlocal bifurcations. Zbl 1120.37308
Ilyashenko, Yu.; Li, Weigu
29
1999
Nonremovable zero Lyapunov exponent. Zbl 1134.37347
Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B.
29
2005
Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010
Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ
28
1996
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
27
1989
Finiteness theorems for limit cycles. Zbl 0753.34015
Il’yashenko, Ju. S.
27
1991
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028
Ilyashenko, Yu
24
2000
Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane. Zbl 1010.32501
Elizarov, P. M.; Il’yashenko, Yu. S.; Shcherbakov, A. A.; Voronin, S. M.
23
1993
Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins. Zbl 1151.37028
Ilyashenko, Yuli S.; Kleptsyn, Victor A.; Saltykov, Petr
22
2008
Finiteness theorems for limit cycles. Zbl 0768.34017
Il’yashenko, Yu. S.
19
1991
Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021
Ilyashenko, Yu.; Yakovenko, S.
18
1995
Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group. Zbl 0865.34007
Il’yashenko, Yulij; Yakovenko, Sergej
18
1995
Nonlinear Stokes phenomena. Zbl 0804.32011
Il’yashenko, Yu. S.
18
1993
Ordinary differential equations and smooth dynamical systems. Transl. from the Russian by E. R. Dawson and D. O’Shea. 3rd printing of the 1st ed. 1988. Zbl 0858.34001
Anosov, D. V.; Aranson, S. Kh.; Arnold, V. I.; Bronshtein, I. U.; Grines, V. Z.; Il’yashenko, Yu. S.
17
1997
Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015
Gorodetskii, A. S.; Il’yashenko, Yu. S.
16
1999
The duck and the devil: Canards on the staircase. Zbl 0985.34035
Guckenheimer, J.; Ilyashenko, Yu.
16
2001
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0564.34034
Il’yashenko, Yu. S.
15
1984
Minimal and strange attractors. Zbl 0874.58032
Gorodetski, A.; Ilyashenko, Yu.
15
1996
Dulac’s memoir “On limit cycles” and related problems of the local theory of differential equations. Zbl 0668.34032
Il’yashenko, Yu. S.
14
1986
Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
14
1991
The topology of phase-portraits of analytic differential equations on the complex projective plane. Zbl 0418.34007
Il’yashenko, Yu. S.
14
1978
Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations. Zbl 1271.34052
Ilyashenko, Yu. S.; Ryzhov, D. A.; Filimonov, D. A.
14
2011
Thick attractors of step skew products. Zbl 1225.37033
Ilyashenko, Yu.
13
2010
Bifurcation theory and catastrophe theory. Translated from the 1986 Russian original by N. D. Kazarinoff. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Dynamical systems V), 5 (1994). Zbl 1038.37500
Arnold, V. I.; Afraĭmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
13
1999
Bifurcation theory. Zbl 0797.58003
Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
13
1986
Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017
Gorodetski, A. S.; Ilyashenko, Yu. S.
13
2000
Dynamical systems. I: Ordinary differential equations. Zbl 0602.58020
Arnol’d, V. I.; Il’yashenko, Yu. S.
13
1985
Hölder properties of perturbed skew products and Fubini regained. Zbl 1255.37008
Ilyashenko, Yu; Negut, A.
12
2012
Some upper estimates on the number of limit cycles of planar vector fields with applications to Liénard equations. Zbl 1008.34027
Ilyashenko, Yu.; Panov, A.
11
2001
Finiteness theorems for limit cycles. Zbl 0731.34027
Il’yashenko, Yu. S.
11
1990
The origin of limit cycles under perturbation of the equation \(dw/dz = - R_ z/R_ w\), where \(R(z,w)\) is a polynomial. Zbl 0194.40102
Il’yashenko, Yu. S.
11
1970
Some open problems in real and complex dynamical systems. Zbl 1183.37016
Ilyashenko, Yu
11
2008
Thick attractors of boundary preserving diffeomorphisms. Zbl 1262.37014
Ilyashenko, Yu.
10
2011
Invisible parts of attractors. Zbl 1204.37017
Ilyashenko, Yu; Negut, A.
9
2010
Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
9
1993
Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036
Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I.
8
2018
Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003
Elizarov, P. M.; Il’yashenko, Yu. S.
7
1984
The monodromy group at infinity of a generic polynomial vector field on the complex projective plane. Zbl 0915.34005
Ilyashenko, Yulij S.; Pyartli, A. S.
7
1994
Diffeomorphisms with intermingled attracting basins. Zbl 1157.37007
Ilyashenko, Yu. S.
7
2008
Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections. Zbl 1077.37033
Buzzard, Gregery T.; Hruska, Suzanne Lynch; Ilyashenko, Yulij
7
2005
Towards the general theory of global planar bifurcations. Zbl 1365.37046
Ilyashenko, Y.
7
2016
Covering manifolds for analytic families of leaves of foliations by analytic curves. Zbl 0927.32020
Ilyashenko, Yulij S.
6
1998
A steepness criterion for analytic functions. Zbl 0597.32003
Il’yashenko, Yu. S.
6
1986
Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061
Ilyashenko, Yu.; Solodovnikov, N.
6
2018
A restricted version of Hilbert’s 16th problem for quadratic vector fields. Zbl 1239.34029
Ilyashenko, Yu.; Llibre, Jaume
5
2010
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0549.34033
Il’yashenko, Yu. S.
5
1984
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
5
2007
Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem. Zbl 0267.34025
Il’yashenko, Yu. S.
5
1973
Materialization of Poincaré resonances and divergence of normalizing series. Zbl 0575.34037
Il’yashenko, Yu. S.; Pyartli, A. S.
5
1985
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
5
1990
Zeros of special abelian integrals in a real domain. Zbl 0413.58011
Il’yashenko, Yu. S.
5
1978
Persistence theorems and simultaneous uniformization. Zbl 1351.37199
Ilyashenko, Yu. S.
5
2006
Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space. Zbl 1059.37507
Blinchevskaya, M. A.; Ilyashenko, Yu. S.
5
1999
Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044
Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
5
2002
Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 1472.34072
Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N.
5
2019
Total rigidity of generic quadratic vector fields. Zbl 1333.37063
Ilyashenko, Yu.; Moldavskis, V.
5
2011
The multiplicity of limit cycles arising from perturbations of the form \(w'=P_2 / Q_1\) of a Hamilton equation in the real and complex domain. Zbl 0494.34018
Il’yashenko, Yu. S.
4
1982
The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type. Zbl 0900.35354
Il’yashenko, Ju. S.
4
1991
Concerning the Hilbert 16th problem. Zbl 0819.00005
4
1995
Concerning the Hilbert sixteenth problem. Zbl 0828.34020
Ilyashenko, Yu.; Yakovenko, S.
4
1995
Die Entstehung von Grenzzyklen bei der Störung der Gleichung dw/dz = - Rz/Rw, wo R(z,w) ein Polynom ist. Zbl 0183.36501
Il’yashenko, Yu. S.
4
1969
Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026
Il’yashenko, Yu. S.
3
1987
Divergence of series reducing an analytic differential equation to linear normal form at a singular point. Zbl 0477.34004
Il’yashenko, Yu. S.
3
1980
Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006
Il’yashenko, Yu. S.
3
1982
The materialization of Poincaré resonances and the divergence of normalizing series. Zbl 0545.34033
Il’yashenko, Yu. S.; Pyartli, A. S.
3
1981
On the dimension of attractors of k-contracting systems in an infinite-dimensional space. Zbl 0547.58026
Il’yashenko, Yu. S.
3
1983
Cascades of \(\epsilon \)-invisibility. Zbl 1205.37031
Ilyashenko, Yu.; Volk, D.
3
2010
Morse-Smale circle diffeomorphisms and moduli of elliptic curves. Zbl 1040.37026
Ilyashenko, Yulij; Moldavskis, Vadims
3
2003
A proof of Kolmogorov’s theorem. Zbl 1069.37043
Hubbard, John; Ilyashenko, Yulij
3
2004
An example of equations \(dw/dz=P_ n(z,w)/Q_ n(z,w)\) having a countable number of limit cycles and arbitrarily large Petrovskij-Landis genus. Zbl 0214.09404
Il’yashenko, Y. S.
3
1970
Fiberings into analytic curves. Zbl 0262.57009
Il’yashenko, Yu. S.
3
1973
Zero type neighbourhoods of embedded complex tori. Zbl 0455.32012
Il’yashenko, Yu. S.; Pyartli, A. S.
3
1979
Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus. Zbl 0789.35132
Il’yashenko, Yu. S.
3
1992
Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032
Ilyashenko, Yu. S.
3
2016
Various equivalence relations in global bifurcation theory. Zbl 1456.37048
Goncharuk, N. B.; Ilyashenko, Yu. S.
3
2020
Multidimensional bony attractors. Zbl 1273.37021
Ilyashenko, Yu. S.
3
2012
On the dimension of attractors for a class of dissipative systems. Zbl 0526.58029
Il’yashenko, Yu. S.; Chetaev, A. N.
2
1982
Attractors and skew products. Zbl 1394.37046
Ilyashenko, Yu.; Shilin, I.
2
2017
Bifurcation of planar and spatial polycycles: Arnold’s program and its development. Zbl 0987.37044
Ilyashenko, Yu. S.; Kaloshin, V. Yu.
2
1999
Jump of energy from low harmonics to high ones in the multidimensional Kuramoto-Sivashinsky equation. Zbl 0816.35118
Arkhipov, A. M.; Il’yashenko, Yu. S.
2
1994
Minimal attractors. Zbl 1102.37016
Ilyashenko, Yu.
2
2005
Materialization of resonances and divergence of normalizing series for polynomial differential equations. Zbl 0581.34013
Il’yashenko, Yu. S.; Pyartli, A. S.
2
1986
Rational differential equations with a nonfree monodromy group at infinity. Zbl 0879.34005
Ilyashenko, Yu. S.; Pyartli, A. S.
2
1996
Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis’ theorem. Zbl 0414.34004
Il’yashenko, Yu. S.
2
1977
Relatively unstable attractors. Zbl 1310.37007
Ilyashenko, Yu. S.; Shilin, I. S.
2
2012
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh). Zbl 1356.34090
Ilyashenko, Yulij
2
2007
Neighborhoods of zero type in embedded complex tori. Zbl 0664.32016
Il’yashenko, Yu. S.; Pyartli, A. S.
1
1985
Algebraically and analytically solvable local problems in the theory of ordinary differential equations. Zbl 0685.34028
Il’yashenko, Yu. S.
1
1987
In the theory of normal forms of analytic differential equations, divergence is the rule and convergence the exception when the Bryuno conditions are violated. Zbl 0506.34008
Il’yashenko, Yu. S.
1
1981
On the dimension of attractors of k-contracting systems in an infinite- dimensional space. Zbl 0524.58029
Il’yashenko, Yu. S.
1
1983
On skew cylinders and simultaneous uniformization. Zbl 0911.32033
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1997
Normal forms, bifurcations and finiteness problems in differential equations. Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 8–19, 2002. Zbl 1231.37002
1
2004
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
The qualitative theory of differential equations in the plane. Zbl 1088.01012
Il’yashenko, Yu. S.
1
2006
Numeric invariants in semilocal bifurcations. Zbl 1464.37030
Dukov, A.; Ilyashenko, Yu.
1
2021
Various equivalence relations in global bifurcation theory. Zbl 1456.37048
Goncharuk, N. B.; Ilyashenko, Yu. S.
3
2020
Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 1472.34072
Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N.
5
2019
Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036
Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I.
8
2018
Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061
Ilyashenko, Yu.; Solodovnikov, N.
6
2018
Attractors and skew products. Zbl 1394.37046
Ilyashenko, Yu.; Shilin, I.
2
2017
Towards the general theory of global planar bifurcations. Zbl 1365.37046
Ilyashenko, Y.
7
2016
Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032
Ilyashenko, Yu. S.
3
2016
Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013
Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.
1
2013
Hölder properties of perturbed skew products and Fubini regained. Zbl 1255.37008
Ilyashenko, Yu; Negut, A.
12
2012
Multidimensional bony attractors. Zbl 1273.37021
Ilyashenko, Yu. S.
3
2012
Relatively unstable attractors. Zbl 1310.37007
Ilyashenko, Yu. S.; Shilin, I. S.
2
2012
Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations. Zbl 1271.34052
Ilyashenko, Yu. S.; Ryzhov, D. A.; Filimonov, D. A.
14
2011
Thick attractors of boundary preserving diffeomorphisms. Zbl 1262.37014
Ilyashenko, Yu.
10
2011
Total rigidity of generic quadratic vector fields. Zbl 1333.37063
Ilyashenko, Yu.; Moldavskis, V.
5
2011
Thick attractors of step skew products. Zbl 1225.37033
Ilyashenko, Yu.
13
2010
Invisible parts of attractors. Zbl 1204.37017
Ilyashenko, Yu; Negut, A.
9
2010
A restricted version of Hilbert’s 16th problem for quadratic vector fields. Zbl 1239.34029
Ilyashenko, Yu.; Llibre, Jaume
5
2010
Cascades of \(\epsilon \)-invisibility. Zbl 1205.37031
Ilyashenko, Yu.; Volk, D.
3
2010
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Lectures on analytic differential equations. Zbl 1186.34001
Ilyashenko, Yulij; Yakovenko, Sergei
222
2008
Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins. Zbl 1151.37028
Ilyashenko, Yuli S.; Kleptsyn, Victor A.; Saltykov, Petr
22
2008
Some open problems in real and complex dynamical systems. Zbl 1183.37016
Ilyashenko, Yu
11
2008
Diffeomorphisms with intermingled attracting basins. Zbl 1157.37007
Ilyashenko, Yu. S.
7
2008
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
5
2007
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh). Zbl 1356.34090
Ilyashenko, Yulij
2
2007
Persistence theorems and simultaneous uniformization. Zbl 1351.37199
Ilyashenko, Yu. S.
5
2006
The qualitative theory of differential equations in the plane. Zbl 1088.01012
Il’yashenko, Yu. S.
1
2006
Preface. Zbl 1350.00006
1
2006
Nonremovable zero Lyapunov exponent. Zbl 1134.37347
Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B.
29
2005
Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections. Zbl 1077.37033
Buzzard, Gregery T.; Hruska, Suzanne Lynch; Ilyashenko, Yulij
7
2005
Minimal attractors. Zbl 1102.37016
Ilyashenko, Yu.
2
2005
A proof of Kolmogorov’s theorem. Zbl 1069.37043
Hubbard, John; Ilyashenko, Yulij
3
2004
Normal forms, bifurcations and finiteness problems in differential equations. Proceedings of the NATO Advanced Study Institute, Montreal, Canada, July 8–19, 2002. Zbl 1231.37002
1
2004
Morse-Smale circle diffeomorphisms and moduli of elliptic curves. Zbl 1040.37026
Ilyashenko, Yulij; Moldavskis, Vadims
3
2003
Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017
Ilyashenko, Yu.
224
2002
Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044
Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
5
2002
The duck and the devil: Canards on the staircase. Zbl 0985.34035
Guckenheimer, J.; Ilyashenko, Yu.
16
2001
Some upper estimates on the number of limit cycles of planar vector fields with applications to Liénard equations. Zbl 1008.34027
Ilyashenko, Yu.; Panov, A.
11
2001
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028
Ilyashenko, Yu
24
2000
Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017
Gorodetski, A. S.; Ilyashenko, Yu. S.
13
2000
Nonlocal bifurcations. Zbl 1120.37308
Ilyashenko, Yu.; Li, Weigu
29
1999
Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015
Gorodetskii, A. S.; Il’yashenko, Yu. S.
16
1999
Bifurcation theory and catastrophe theory. Translated from the 1986 Russian original by N. D. Kazarinoff. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Dynamical systems V), 5 (1994). Zbl 1038.37500
Arnold, V. I.; Afraĭmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
13
1999
Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space. Zbl 1059.37507
Blinchevskaya, M. A.; Ilyashenko, Yu. S.
5
1999
Bifurcation of planar and spatial polycycles: Arnold’s program and its development. Zbl 0987.37044
Ilyashenko, Yu. S.; Kaloshin, V. Yu.
2
1999
Covering manifolds for analytic families of leaves of foliations by analytic curves. Zbl 0927.32020
Ilyashenko, Yulij S.
6
1998
Ordinary differential equations and smooth dynamical systems. Transl. from the Russian by E. R. Dawson and D. O’Shea. 3rd printing of the 1st ed. 1988. Zbl 0858.34001
Anosov, D. V.; Aranson, S. Kh.; Arnold, V. I.; Bronshtein, I. U.; Grines, V. Z.; Il’yashenko, Yu. S.
17
1997
On skew cylinders and simultaneous uniformization. Zbl 0911.32033
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1997
Differential equations with real and complex time. Collection of articles. (Differentsial’nye uravneniya s veshchestvennym i kompleksnym vremenem. Sbornik statej.) Zbl 0884.00026
1
1997
Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams. Zbl 0890.58060
Ilyashenko, Yu.
1
1997
Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010
Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ
28
1996
Minimal and strange attractors. Zbl 0874.58032
Gorodetski, A.; Ilyashenko, Yu.
15
1996
Rational differential equations with a nonfree monodromy group at infinity. Zbl 0879.34005
Ilyashenko, Yu. S.; Pyartli, A. S.
2
1996
On skew cylinders and simultaneous uniformization. Zbl 0932.32021
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1996
Limit cycles and nonlinear Stokes phenomena. Zbl 0863.34029
Ilyashenko, Yu.
1
1996
Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021
Ilyashenko, Yu.; Yakovenko, S.
18
1995
Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group. Zbl 0865.34007
Il’yashenko, Yulij; Yakovenko, Sergej
18
1995
Concerning the Hilbert 16th problem. Zbl 0819.00005
4
1995
Concerning the Hilbert sixteenth problem. Zbl 0828.34020
Ilyashenko, Yu.; Yakovenko, S.
4
1995
The monodromy group at infinity of a generic polynomial vector field on the complex projective plane. Zbl 0915.34005
Ilyashenko, Yulij S.; Pyartli, A. S.
7
1994
Jump of energy from low harmonics to high ones in the multidimensional Kuramoto-Sivashinsky equation. Zbl 0816.35118
Arkhipov, A. M.; Il’yashenko, Yu. S.
2
1994
Normal forms for local families and nonlocal bifurcations. Zbl 0811.58051
Ilyashenko, Yu. S.
1
1994
Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane. Zbl 1010.32501
Elizarov, P. M.; Il’yashenko, Yu. S.; Shcherbakov, A. A.; Voronin, S. M.
23
1993
Nonlinear Stokes phenomena. Zbl 0804.32011
Il’yashenko, Yu. S.
18
1993
Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
9
1993
Nonlinear Stokes phenomena. Transl. ed. by A.B. Sossinsky. Zbl 0772.00012
1
1993
Finite cyclicity of elementary polycycles. Zbl 0781.58035
Ilyashenko, Yuliǐ; Yakovenko, Serguei
1
1993
Local dynamics and nonlocal bifurcations. Zbl 0795.58039
Ilyashenko, Yulij S.
1
1993
Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074
Il’yashenko, Ju. S.
31
1992
Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus. Zbl 0789.35132
Il’yashenko, Yu. S.
3
1992
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
58
1991
Fewnomials. Transl. from the Russian by Smilka Zdravkovska. Zbl 0728.12002
Khovanskij, A. G.
49
1991
Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036
Il’yashenko, Yu. S.
30
1991
Finiteness theorems for limit cycles. Zbl 0753.34015
Il’yashenko, Ju. S.
27
1991
Finiteness theorems for limit cycles. Zbl 0768.34017
Il’yashenko, Yu. S.
19
1991
Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
14
1991
The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type. Zbl 0900.35354
Il’yashenko, Ju. S.
4
1991
Finiteness theorems for limit cycles. Zbl 0731.34027
Il’yashenko, Yu. S.
11
1990
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
5
1990
Global analysis of the phase portrait of the nonlinear parabolic evolution equation. Zbl 0806.35070
Il’yashenko, Yu. S.
1
1990
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
27
1989
Ordinary differential equations. Zbl 0659.58012
Arnol’d, V. I.; Il’yashenko, Yu. S.
48
1988
Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026
Il’yashenko, Yu. S.
3
1987
Algebraically and analytically solvable local problems in the theory of ordinary differential equations. Zbl 0685.34028
Il’yashenko, Yu. S.
1
1987
Dulac’s memoir “On limit cycles” and related problems of the local theory of differential equations. Zbl 0668.34032
Il’yashenko, Yu. S.
14
1986
Bifurcation theory. Zbl 0797.58003
Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
13
1986
A steepness criterion for analytic functions. Zbl 0597.32003
Il’yashenko, Yu. S.
6
1986
Materialization of resonances and divergence of normalizing series for polynomial differential equations. Zbl 0581.34013
Il’yashenko, Yu. S.; Pyartli, A. S.
2
1986
Dynamical systems. I: Ordinary differential equations. Zbl 0602.58020
Arnol’d, V. I.; Il’yashenko, Yu. S.
13
1985
Materialization of Poincaré resonances and divergence of normalizing series. Zbl 0575.34037
Il’yashenko, Yu. S.; Pyartli, A. S.
5
1985
Neighborhoods of zero type in embedded complex tori. Zbl 0664.32016
Il’yashenko, Yu. S.; Pyartli, A. S.
1
1985
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0564.34034
Il’yashenko, Yu. S.
15
1984
Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003
Elizarov, P. M.; Il’yashenko, Yu. S.
7
1984
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0549.34033
Il’yashenko, Yu. S.
5
1984
The finiteness problem for limit cycles of polynomial vector fields on the plane, germs of saddle resonant vector fields and non-Hausdorff Riemann surfaces. Zbl 0588.34024
Il’yashenko, Yu. S.
1
1984
On the dimension of attractors of k-contracting systems in an infinite-dimensional space. Zbl 0547.58026
Il’yashenko, Yu. S.
3
1983
On the dimension of attractors of k-contracting systems in an infinite- dimensional space. Zbl 0524.58029
Il’yashenko, Yu. S.
1
1983
The multiplicity of limit cycles arising from perturbations of the form \(w'=P_2 / Q_1\) of a Hamilton equation in the real and complex domain. Zbl 0494.34018
Il’yashenko, Yu. S.
4
1982
Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006
Il’yashenko, Yu. S.
3
1982
...and 19 more Documents
all top 5

Cited by 1,027 Authors

76 Llibre, Jaume
24 Gasull, Armengol
22 Ilyashenko, Yulij Sergeevich
20 Zhang, Xiang
19 Rousseau, Christiane
18 Giné, Jaume
17 Torregrosa, Joan
16 Han, Maoan
16 Valls Anglés, Cláudia
13 García, Isaac A.
13 Mardešić, Pavao
13 Yakovenko, Sergei
12 Díaz, Lorenzo Justiniano
12 Ribón, Javier
10 Gavrilov, Lubomir
10 Gelfert, Katrin Grit
10 Glutsyuk, Alexey A.
10 Li, Weigu
10 Novikov, Dmitry
10 Resman, Maja
10 Wu, Hao
10 Zhao, Liqin
9 Liang, Haihua
9 Teixeira, Marco Antonio
9 Turaev, Dmitry V.
9 Villadelprat, Jordi
8 Binyamini, Gal
8 Fiedler, Bernold
8 Grin, Alexander A.
8 Kossovskiy, Il’ya Grigor’evich
8 Liu, Changjian
8 Rebelo, Julio C.
8 Yomdin, Yosef
7 Algaba, Antonio
7 Benterki, Rebiha
7 Bonckaert, Patrick
7 Coutinho, S. C.
7 García, Cristóbal
7 Homburg, Ale Jan
7 Huang, Jianfeng
7 Klimeš, Martin
7 Medvedeva, Nataliya Borisovna
7 Reis, Helena
7 Rocha, Carlos
7 Rolin, Jean-Philippe
7 Yu, Pei
7 Zhao, Yulin
6 Alvarez, María Jesus
6 Bravo, José Luis
6 Buzzi, Claudio Aguinaldo
6 Cherkas, Leonid A.
6 Goncharuk, Nataliya Yu.
6 Gorodetskii, Anton Semenovich
6 Kleptsyn, Victor A.
6 Loray, Frank
6 Mañosas, Francesc
6 Ortiz-Bobadilla, Laura
6 Remizov, Alexey O.
6 Sanz Sánchez, Fernando
6 Tertychnyĭ, Sergeĭ Ivanovich
6 Tien Cuong Dinh
6 Yang, Jiazhong
6 Zhang, Zhifen
6 Żołądek, Henryk
5 Barrientos, Pablo G.
5 Bonatti, Christian
5 Chen, Hebai
5 Dumortier, Freddy
5 Fernandez García-Hierro, Manuel
5 Fortuny Ayuso, Pedro
5 Grau, Maite
5 Guillot, Adolfo
5 Johnson, Tomas
5 Kudryashov, Yury
5 Kukavica, Igor
5 Lamel, Bernhard
5 Leonov, Gennadiĭ Alekseevich
5 Li, Chengzhi
5 Maza, Susanna
5 Movasati, Hossein
5 Novaes, Douglas Duarte
5 Rams, Michał
5 Rebollo-Perdomo, Salomón
5 Salhi, Tayeb
5 Scardua, Bruno
5 Sibony, Nessim
5 Stolovitch, Laurent
5 Tian, Yun
5 Tucker, Warwick
5 Wang, Jihua
5 Xiao, Dongmei
5 Yang, Jihua
5 Yang, Junmin
4 Abate, Marco
4 Berger, Pierre
4 Briskin, Miriam
4 Brudnyi, Alexander
4 Bukhshtaber, Viktor Matveevich
4 Christopher, Colin J.
4 Fakhari, Abbas
...and 927 more Authors
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Cited in 235 Serials

116 Journal of Differential Equations
40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
39 Journal of Mathematical Analysis and Applications
37 Qualitative Theory of Dynamical Systems
29 Annales de l’Institut Fourier
29 Journal of Dynamical and Control Systems
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Physica D
19 Ergodic Theory and Dynamical Systems
19 Proceedings of the Steklov Institute of Mathematics
17 Bulletin des Sciences Mathématiques
16 Nonlinearity
15 Journal of Dynamics and Differential Equations
15 Discrete and Continuous Dynamical Systems
14 Communications in Mathematical Physics
13 Functional Analysis and its Applications
13 Inventiones Mathematicae
13 Proceedings of the American Mathematical Society
13 Differential Equations
12 Advances in Mathematics
11 Journal of Mathematical Sciences (New York)
10 Transactions of the American Mathematical Society
9 Journal of Nonlinear Science
9 Regular and Chaotic Dynamics
9 Dynamical Systems
8 Mathematische Zeitschrift
8 Moscow Mathematical Journal
7 Israel Journal of Mathematics
7 Journal of Mathematical Physics
7 Mathematische Annalen
7 Transactions of the Moscow Mathematical Society
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Nonlinear Analysis. Theory, Methods & Applications
6 Mathematical Notes
6 Duke Mathematical Journal
6 The Journal of Geometric Analysis
6 Communications in Nonlinear Science and Numerical Simulation
6 Discrete and Continuous Dynamical Systems. Series B
6 Arnold Mathematical Journal
5 Theoretical and Mathematical Physics
5 Chaos, Solitons and Fractals
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Journal of Symbolic Computation
5 Applied Mathematics Letters
5 Doklady Mathematics
5 Nonlinear Dynamics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Bulletin of the Brazilian Mathematical Society. New Series
4 Journal of Applied Mathematics and Mechanics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physics Letters. A
4 Russian Mathematical Surveys
4 Applied Mathematics and Computation
4 Journal für die Reine und Angewandte Mathematik
4 Revista Matemática Iberoamericana
4 Mathematical and Computer Modelling
4 International Journal of Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Boletim da Sociedade Brasileira de Matemática. Nova Série
4 Journal of Mathematical Chemistry
4 Abstract and Applied Analysis
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Nonlinear Analysis. Real World Applications
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Singularities
3 Journal of Statistical Physics
3 Rocky Mountain Journal of Mathematics
3 Journal of Geometry and Physics
3 Compositio Mathematica
3 Journal of Algebra
3 Journal of Computational and Applied Mathematics
3 Monatshefte für Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Topology and its Applications
3 Journal of Economic Dynamics & Control
3 Science in China. Series A
3 Geometric and Functional Analysis. GAFA
3 Computational Mathematics and Mathematical Physics
3 Expositiones Mathematicae
3 St. Petersburg Mathematical Journal
3 Journal of Difference Equations and Applications
3 Izvestiya: Mathematics
3 Differential Equations and Dynamical Systems
3 Conformal Geometry and Dynamics
3 Chaos
3 Communications in Contemporary Mathematics
3 Lobachevskii Journal of Mathematics
3 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
3 Communications on Pure and Applied Analysis
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Physics A: Mathematical and Theoretical
3 Journal of Modern Dynamics
3 Analysis and Mathematical Physics
3 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
2 American Mathematical Monthly
2 Applicable Analysis
...and 135 more Serials
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Cited in 58 Fields

570 Ordinary differential equations (34-XX)
512 Dynamical systems and ergodic theory (37-XX)
168 Several complex variables and analytic spaces (32-XX)
74 Partial differential equations (35-XX)
59 Algebraic geometry (14-XX)
42 Functions of a complex variable (30-XX)
35 Global analysis, analysis on manifolds (58-XX)
34 Mechanics of particles and systems (70-XX)
29 Manifolds and cell complexes (57-XX)
25 Differential geometry (53-XX)
22 Numerical analysis (65-XX)
19 Probability theory and stochastic processes (60-XX)
17 Fluid mechanics (76-XX)
16 Biology and other natural sciences (92-XX)
14 Measure and integration (28-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Mathematical logic and foundations (03-XX)
13 Operator theory (47-XX)
11 Special functions (33-XX)
11 Difference and functional equations (39-XX)
11 Computer science (68-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Field theory and polynomials (12-XX)
9 Combinatorics (05-XX)
9 Topological groups, Lie groups (22-XX)
9 Systems theory; control (93-XX)
8 Number theory (11-XX)
8 Nonassociative rings and algebras (17-XX)
8 Group theory and generalizations (20-XX)
7 Associative rings and algebras (16-XX)
7 Approximations and expansions (41-XX)
6 Quantum theory (81-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Commutative algebra (13-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Real functions (26-XX)
4 Convex and discrete geometry (52-XX)
4 General topology (54-XX)
4 Mechanics of deformable solids (74-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Information and communication theory, circuits (94-XX)
3 Integral transforms, operational calculus (44-XX)
3 Functional analysis (46-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)
1 Astronomy and astrophysics (85-XX)

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