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Ilyashenko, Yulij Sergeevich

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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, Yuliĭ Sergeevich; Ilyashenko, Yulij Sergeevich; 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
Documents Indexed: 179 Publications since 1962, including 10 Books
Biographic References: 3 Publications
all top 5

Co-Authors

85 single-authored
11 Tsfasman, Michael A.
10 Arnol’d, Vladimir Igorevich
10 Pyartli, A. S.
10 Yakovenko, Sergei
6 Sosinskiĭ, Alekseĭ Bronislavovich
5 Khovanskiĭ, Askold Georgievich
5 Kondrat’ev, Vladimir Aleksandrovich
5 Kozlov, Valeriĭ Vasil’evich
5 Lando, Sergei K.
5 Sinaĭ, Yakov Grigor’evich
5 Vasil’ev, Viktor Anatol’evich
4 Gorodetskii, Anton Semenovich
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, Yuri Ivanovich
3 Shcherbakov, A. A.
2 Anosov, Dmitriĭ Viktorovich
2 Aptekarev, Alexander Ivanovich
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 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 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 Radkevich, Evgeniĭ Vladimirovich
2 Roitberg, M. A.
2 Rousseau, Christiane
2 Rozov, Nikolaĭ Khristovich
2 Rybnikov, Leonid Grigor’evich
2 Sergeev, Igor’ Nikolaevich
2 Shamaev, Alexei S.
2 Shaposhnikova, Tatiana A.
2 Shilnikov, Leonid Pavlovich
2 Shlosman, Senya B.
2 Solodovnikov, Nikita A.
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Treshchev, Dmitriĭ Valer’evich
1 Abramov, A. M.
1 Afendikov, Andrei L.
1 Agranovich, Mikhail Semënovich
1 Aranson, Samuil Khaĭmovich
1 Arkhipov, Alexander M.
1 Arlazarov, Vladimir L’vovich
1 Arzhantsev, Ivan Vladimirovich
1 Ataullakhanov, Fazoil I.
1 Bagirov, Lev A.
1 Balabaev, N. K.
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 Bunimovich, Leonid Abramovich
1 Buzzard, Gregery T.
1 Bykov, Vladimir Vladislavovich
1 Cherkassky, Boris V.
1 Chernavskij, A. V.
1 Chetaev, A. N.
1 Chirka, Evgeni M.
1 Dagkesamanskii, R. D.
1 Dinitz, E. A.
1 Drinfeld, Vladimir Gershonovich
1 Dukov, A. V.
1 Dumortier, Freddy
1 Efremovich, Vadim A.
1 Etingof, Pavel Il’ich
1 Faradzhev, Igor Aleksandrovich
1 Feĭgin, Boris L’vovich
1 Filimonov, D. A.
1 Filimonova, I. V.
1 Filinovskiĭ, Alexeĭ Vladislavovich
1 Filippov, Alexey F.
1 Galgani, Luigi
1 Gel’fand, E. M.
1 Goncharuk, N. B.
1 Gonchenko, Sergey V.
1 Goritskiĭ, Andreĭ Yur’evich
1 Grigor’yan, Alexander Asaturovich
1 Gromov, Mikhael Leonidovich
1 Guckenheimer, John M.
1 Gussein-Zade, S.
...and 106 more Co-Authors
all top 5

Serials

21 Moscow Mathematical Journal
15 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. 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 Translations of Mathematical Monographs
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 1,107 times in 842 Documents Cited by Year
Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017
Ilyashenko, Yu.
175
2002
Lectures on analytic differential equations. Zbl 1186.34001
Ilyashenko, Yulij; Yakovenko, Sergei
158
2008
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
52
1991
Ordinary differential equations. Zbl 0659.58012
Arnol’d, V. I.; Il’yashenko, Yu. S.
40
1988
Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074
Il’yashenko, Ju. S.
27
1992
Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010
Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ
25
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.
25
1989
Nonlocal bifurcations. Zbl 1120.37308
Ilyashenko, Yu.; Li, Weigu
24
1999
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028
Ilyashenko, Yu
21
2000
Nonremovable zero Lyapunov exponent. Zbl 1134.37347
Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B.
20
2005
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
20
2008
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.
19
1993
Finiteness theorems for limit cycles. Zbl 0753.34015
Il’yashenko, Ju. S.
18
1991
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
16
1995
Minimal and strange attractors. Zbl 0874.58032
Gorodetski, A.; Ilyashenko, Yu.
14
1996
Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021
Ilyashenko, Yu.; Yakovenko, S.
14
1995
Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015
Gorodetskii, A. S.; Il’yashenko, Yu. S.
14
1999
The topology of phase-portraits of analytic differential equations on the complex projective plane. Zbl 0418.34007
Il’yashenko, Yu. S.
14
1978
Finiteness theorems for limit cycles. Zbl 0768.34017
Il’yashenko, Yu. S.
13
1991
Nonlinear Stokes phenomena. Zbl 0804.32011
Il’yashenko, Yu. S.
13
1993
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0564.34034
Il’yashenko, Yu. S.
12
1984
Dulac’s memoir “On limit cycles” and related problems of the local theory of differential equations. Zbl 0668.34032
Il’yashenko, Yu. S.
12
1986
The duck and the devil: Canards on the staircase. Zbl 0985.34035
Guckenheimer, J.; Ilyashenko, Yu.
12
2001
Thick attractors of step skew products. Zbl 1225.37033
Ilyashenko, Yu.
12
2010
Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
12
1991
Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017
Gorodetski, A. S.; Ilyashenko, Yu. S.
11
2000
Some open problems in real and complex dynamical systems. Zbl 1183.37016
Ilyashenko, Yu
11
2008
Bifurcation theory. Zbl 0797.58003
Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
10
1986
Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036
Il’yashenko, Yu. S.
10
1991
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.
10
1997
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.
10
2011
Thick attractors of boundary preserving diffeomorphisms. Zbl 1262.37014
Ilyashenko, Yu.
10
2011
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.
10
2001
Dynamical systems. I: Ordinary differential equations. Zbl 0602.58020
Arnol’d, V. I.; Il’yashenko, Yu. S.
10
1985
Hölder properties of perturbed skew products and Fubini regained. Zbl 1255.37008
Ilyashenko, Yu; Negut, A.
9
2012
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.
8
1999
Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
8
1993
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.
8
1970
Finiteness theorems for limit cycles. Zbl 0731.34027
Il’yashenko, Yu. S.
8
1990
Invisible parts of attractors. Zbl 1204.37017
Ilyashenko, Yu; Negut, A.
8
2010
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
Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036
Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I.
7
2018
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
6
2005
Diffeomorphisms with intermingled attracting basins. Zbl 1157.37007
Ilyashenko, Yu. S.
6
2008
Towards the general theory of global planar bifurcations. Zbl 1365.37046
Ilyashenko, Y.
6
2016
Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003
Elizarov, P. M.; Il’yashenko, Yu. S.
5
1984
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0549.34033
Il’yashenko, Yu. S.
5
1984
Covering manifolds for analytic families of leaves of foliations by analytic curves. Zbl 0927.32020
Ilyashenko, Yulij S.
5
1998
Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044
Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
5
2002
Zeros of special abelian integrals in a real domain. Zbl 0413.58011
Il’yashenko, Yu. S.
5
1978
Materialization of Poincaré resonances and divergence of normalizing series. Zbl 0575.34037
Il’yashenko, Yu. S.; Pyartli, A. S.
5
1985
A restricted version of Hilbert’s 16th problem for quadratic vector fields. Zbl 1239.34029
Ilyashenko, Yu.; Llibre, Jaume
5
2010
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
Concerning the Hilbert sixteenth problem. Zbl 0828.34020
Ilyashenko, Yu.; Yakovenko, S.
4
1995
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
Persistence theorems and simultaneous uniformization. Zbl 1351.37199
Ilyashenko, Yu. S.
4
2006
Total rigidity of generic quadratic vector fields. Zbl 1333.37063
Ilyashenko, Yu.; Moldavskis, V.
4
2011
Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem. Zbl 0267.34025
Il’yashenko, Yu. S.
4
1973
A steepness criterion for analytic functions. Zbl 0597.32003
Il’yashenko, Yu. S.
4
1986
Concerning the Hilbert 16th problem. Zbl 0819.00005
Ilyashenko, Yu. (ed.); Yakovenko, S. (ed.)
3
1995
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.
3
1999
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
3
1990
Cascades of \(\epsilon \)-invisibility. Zbl 1205.37031
Ilyashenko, Yu.; Volk, D.
3
2010
Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061
Ilyashenko, Yu.; Solodovnikov, N.
3
2018
Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 1472.34072
Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N.
3
2019
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
3
2007
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
A proof of Kolmogorov’s theorem. Zbl 1069.37043
Hubbard, John; Ilyashenko, Yulij
3
2004
Morse-Smale circle diffeomorphisms and moduli of elliptic curves. Zbl 1040.37026
Ilyashenko, Yulij; Moldavskis, Vadims
3
2003
On the dimension of attractors for a class of dissipative systems. Zbl 0526.58029
Il’yashenko, Yu. S.; Chetaev, A. N.
2
1982
Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006
Il’yashenko, Yu. S.
2
1982
The materialization of Poincaré resonances and the divergence of normalizing series. Zbl 0545.34033
Il’yashenko, Yu. S.; Pyartli, A. S.
2
1981
On the dimension of attractors of k-contracting systems in an infinite-dimensional space. Zbl 0547.58026
Il’yashenko, Yu. S.
2
1983
Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026
Il’yashenko, Yu. S.
2
1987
Rational differential equations with a nonfree monodromy group at infinity. Zbl 0879.34005
Ilyashenko, Yu. S.; Pyartli, A. S.
2
1996
Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus. Zbl 0789.35132
Il’yashenko, Yu. S.
2
1992
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
Bifurcation of planar and spatial polycycles: Arnold’s program and its development. Zbl 0987.37044
Ilyashenko, Yu. S.; Kaloshin, V. Yu.
2
1999
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.
2
1970
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
Fiberings into analytic curves. Zbl 0262.57009
Il’yashenko, Yu. S.
2
1973
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
Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032
Ilyashenko, Yu. S.
2
2016
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh). Zbl 1356.34090
Ilyashenko, Yulij
2
2007
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
Global analysis of the phase portrait of the nonlinear parabolic evolution equation. Zbl 0806.35070
Il’yashenko, Yu. S.
1
1990
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
On skew cylinders and simultaneous uniformization. Zbl 0932.32021
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1996
Differential equations with real and complex time. Collection of articles. (Differentsial’nye uravneniya s veshchestvennym i kompleksnym vremenem. Sbornik statej.) Zbl 0884.00026
Il’yashenko, Yu. S. (ed.); Mishchenko, E. F. (ed.)
1
1997
Limit cycles and nonlinear Stokes phenomena. Zbl 0863.34029
Ilyashenko, Yu.
1
1996
Local dynamics and nonlocal bifurcations. Zbl 0795.58039
Ilyashenko, Yulij S.
1
1993
Normal forms for local families and nonlocal bifurcations. Zbl 0811.58051
Ilyashenko, Yu. S.
1
1994
On skew cylinders and simultaneous uniformization. Zbl 0911.32033
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1997
The multiplicity of limit cycles arising by a perturbation of a Hamilton equation of the class \(dw/dz=P_2/Q\), in real and complex domains. Zbl 0454.34020
Il’yashenko, Yu. S.
1
1978
Zero type neighbourhoods of embedded complex tori. Zbl 0455.32012
Il’yashenko, Yu. S.; Pyartli, A. S.
1
1979
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.
1
1969
Various equivalence relations in global bifurcation theory. Zbl 1456.37048
Goncharuk, N. B.; Ilyashenko, Yu. S.
1
2020
Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 1472.34072
Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N.
3
2019
Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036
Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I.
7
2018
Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061
Ilyashenko, Yu.; Solodovnikov, N.
3
2018
Attractors and skew products. Zbl 1394.37046
Ilyashenko, Yu.; Shilin, I.
1
2017
Towards the general theory of global planar bifurcations. Zbl 1365.37046
Ilyashenko, Y.
6
2016
Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032
Ilyashenko, Yu. S.
2
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.
9
2012
Relatively unstable attractors. Zbl 1310.37007
Ilyashenko, Yu. S.; Shilin, I. S.
2
2012
Multidimensional bony attractors. Zbl 1273.37021
Ilyashenko, Yu. S.
1
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.
10
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.
4
2011
Thick attractors of step skew products. Zbl 1225.37033
Ilyashenko, Yu.
12
2010
Invisible parts of attractors. Zbl 1204.37017
Ilyashenko, Yu; Negut, A.
8
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
158
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
20
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.
6
2008
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
3
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.
4
2006
Preface. Zbl 1350.00006
Ilyashenko, Yu. S.
1
2006
The qualitative theory of differential equations in the plane. Zbl 1088.01012
Il’yashenko, Yu. S.
1
2006
Nonremovable zero Lyapunov exponent. Zbl 1134.37347
Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B.
20
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
6
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
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.
175
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.
12
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.
10
2001
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028
Ilyashenko, Yu
21
2000
Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017
Gorodetski, A. S.; Ilyashenko, Yu. S.
11
2000
Nonlocal bifurcations. Zbl 1120.37308
Ilyashenko, Yu.; Li, Weigu
24
1999
Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015
Gorodetskii, A. S.; Il’yashenko, Yu. S.
14
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.
8
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.
3
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.
5
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.
10
1997
Differential equations with real and complex time. Collection of articles. (Differentsial’nye uravneniya s veshchestvennym i kompleksnym vremenem. Sbornik statej.) Zbl 0884.00026
Il’yashenko, Yu. S.; Mishchenko, E. F.
1
1997
On skew cylinders and simultaneous uniformization. Zbl 0911.32033
Il’yashenko, Yu. S.; Shcherbakov, A. A.
1
1997
Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010
Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ
25
1996
Minimal and strange attractors. Zbl 0874.58032
Gorodetski, A.; Ilyashenko, Yu.
14
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
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
16
1995
Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021
Ilyashenko, Yu.; Yakovenko, S.
14
1995
Concerning the Hilbert sixteenth problem. Zbl 0828.34020
Ilyashenko, Yu.; Yakovenko, S.
4
1995
Concerning the Hilbert 16th problem. Zbl 0819.00005
Ilyashenko, Yu.; Yakovenko, S.
3
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.
19
1993
Nonlinear Stokes phenomena. Zbl 0804.32011
Il’yashenko, Yu. S.
13
1993
Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
8
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.
27
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.
2
1992
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
52
1991
Finiteness theorems for limit cycles. Zbl 0753.34015
Il’yashenko, Ju. S.
18
1991
Finiteness theorems for limit cycles. Zbl 0768.34017
Il’yashenko, Yu. S.
13
1991
Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012
Il’yashenko, Yu. S.; Yakovenko, S. Yu.
12
1991
Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036
Il’yashenko, Yu. S.
10
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.
8
1990
Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013
Il’yashenko, Yu. S.; Khovanskij, A. G.
3
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.
25
1989
Ordinary differential equations. Zbl 0659.58012
Arnol’d, V. I.; Il’yashenko, Yu. S.
40
1988
Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026
Il’yashenko, Yu. S.
2
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.
12
1986
Bifurcation theory. Zbl 0797.58003
Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P.
10
1986
A steepness criterion for analytic functions. Zbl 0597.32003
Il’yashenko, Yu. S.
4
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.
10
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.
12
1984
Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003
Elizarov, P. M.; Il’yashenko, Yu. S.
5
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.
2
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
On the dimension of attractors for a class of dissipative systems. Zbl 0526.58029
Il’yashenko, Yu. S.; Chetaev, A. N.
2
1982
Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006
Il’yashenko, Yu. S.
2
1982
The materialization of Poincaré resonances and the divergence of normalizing series. Zbl 0545.34033
Il’yashenko, Yu. S.; Pyartli, A. S.
2
1981
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
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
Zero type neighbourhoods of embedded complex tori. Zbl 0455.32012
Il’yashenko, Yu. S.; Pyartli, A. S.
1
1979
The topology of phase-portraits of analytic differential equations on the complex projective plane. Zbl 0418.34007
Il’yashenko, Yu. S.
14
1978
...and 11 more Documents
all top 5

Cited by 827 Authors

60 Llibre, Jaume
22 Ilyashenko, Yulij Sergeevich
21 Gasull, Armengol
17 Zhang, Xiang
16 Han, Maoan
16 Rousseau, Christiane
14 Giné, Jaume
13 Torregrosa, Joan
13 Yakovenko, Sergei
12 Valls Anglés, Cláudia
10 Li, Weigu
10 Zhao, Liqin
9 García, Isaac A.
9 Gavrilov, Lubomir
9 Grin, Alexander A.
8 Fiedler, Bernold
8 Liang, Haihua
8 Novikov, Dmitry
8 Villadelprat, Jordi
7 Bonckaert, Patrick
7 Homburg, Ale Jan
7 Mardešić, Pavao
7 Ribón, Javier
7 Rocha, Carlos
7 Teixeira, Marco Antonio
7 Turaev, Dmitry V.
7 Yomdin, Yosef
7 Yu, Pei
6 Alvarez, María Jesus
6 Cherkas, Leonid A.
6 Gorodetskii, Anton Semenovich
6 Huang, Jianfeng
6 Kleptsyn, Victor A.
6 Klimeš, Martin
6 Liu, Changjian
6 Mañosas, Francesc
6 Wu, Hao
6 Zhang, Zhifen
6 Zhao, Yulin
5 Algaba, Antonio
5 Binyamini, Gal
5 Buzzi, Claudio Aguinaldo
5 Chen, Hebai
5 Díaz, Lorenzo Justiniano
5 Dumortier, Freddy
5 García, Cristóbal
5 Gelfert, Katrin Grit
5 Glutsyuk, Alexey A.
5 Goncharuk, Nataliya Yu.
5 Johnson, Tomas
5 Kossovskiy, Il’ya Grigor’evich
5 Leonov, Gennadiĭ Alekseevich
5 Li, Chengzhi
5 Maza, Susanna
5 Ortiz-Bobadilla, Laura
5 Rebelo, Julio C.
5 Rebollo-Perdomo, Salomón
5 Reis, Helena
5 Resman, Maja
5 Rolin, Jean-Philippe
5 Tertychnyĭ, Sergeĭ Ivanovich
5 Tian, Yun
5 Tucker, Warwick
5 Wang, Jihua
5 Żołądek, Henryk
4 Abate, Marco
4 Barrientos, Pablo G.
4 Bravo, José Luis
4 Brudnyi, Alexander
4 Bukhshtaber, Viktor Matveevich
4 Coutinho, S. C.
4 Fakhari, Abbas
4 Ghane, Fatemeh Helen
4 Gontsov, Renat R.
4 Grau, Maite
4 Guillot, Adolfo
4 Kaiser, Tobias
4 Kudryashov, Yury
4 Kukavica, Igor
4 Mañosa, Víctor
4 Medrado, João C. R.
4 Movasati, Hossein
4 Pantazi, Chara
4 Ramírez, Rafael O.
4 Ramírez, Valentín
4 Schurov, Ilya
4 Sibony, Nessim
4 Stróżyna, Ewa
4 Tien Cuong Dinh
4 Volk, Denis Sergeevich
4 Yang, Jiazhong
4 Yang, Jihua
4 Županović, Vesna
3 Asaoka, Masayuki
3 Asheghi, Rasoul
3 Ashwin, Peter
3 Aziz, Waleed
3 Bonatti, Christian
3 Briskin, Miriam
3 Buică, Adriana
...and 727 more Authors
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Cited in 193 Serials

104 Journal of Differential Equations
35 Journal of Mathematical Analysis and Applications
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
28 Annales de l’Institut Fourier
27 Qualitative Theory of Dynamical Systems
24 Journal of Dynamical and Control Systems
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Proceedings of the Steklov Institute of Mathematics
16 Ergodic Theory and Dynamical Systems
16 Physica D
14 Journal of Dynamics and Differential Equations
14 Bulletin des Sciences Mathématiques
13 Nonlinearity
12 Inventiones Mathematicae
12 Discrete and Continuous Dynamical Systems
11 Functional Analysis and its Applications
11 Proceedings of the American Mathematical Society
11 Differential Equations
9 Communications in Mathematical Physics
9 Dynamical Systems
8 Advances in Mathematics
8 Regular and Chaotic Dynamics
7 Transactions of the American Mathematical Society
7 Transactions of the Moscow Mathematical Society
7 Journal of Nonlinear Science
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Mathematical Sciences (New York)
7 Nonlinear Analysis. Theory, Methods & Applications
6 Journal of Mathematical Physics
6 Mathematical Notes
6 Mathematische Annalen
6 Mathematische Zeitschrift
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Israel Journal of Mathematics
5 Theoretical and Mathematical Physics
5 Chaos, Solitons and Fractals
5 Duke Mathematical Journal
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 The Journal of Geometric Analysis
5 Doklady Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Applied Mathematics and Mechanics
4 Physics Letters. A
4 Applied Mathematics and Computation
4 Journal für die Reine und Angewandte Mathematik
4 Applied Mathematics Letters
4 Mathematical and Computer Modelling
4 Bulletin of the American Mathematical Society. New Series
4 Boletim da Sociedade Brasileira de Matemática. Nova Série
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Discrete and Continuous Dynamical Systems. Series B
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Arnold Mathematical Journal
3 Journal of Statistical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Russian Mathematical Surveys
3 Journal of Algebra
3 Revista Matemática Iberoamericana
3 Journal of Economic Dynamics & Control
3 Science in China. Series A
3 International Journal of Mathematics
3 Computational Mathematics and Mathematical Physics
3 Expositiones Mathematicae
3 St. Petersburg Mathematical Journal
3 Abstract and Applied Analysis
3 Conformal Geometry and Dynamics
3 Chaos
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Real World Applications
3 Communications on Pure and Applied Analysis
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Physica A
2 Journal of Geometry and Physics
2 Acta Mathematica Vietnamica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Compositio Mathematica
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Topology and its Applications
2 Zeitschrift für Analysis und ihre Anwendungen
2 Applied Numerical Mathematics
2 Journal of Symbolic Computation
2 Differential Geometry and its Applications
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Linear Algebra and its Applications
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Celestial Mechanics and Dynamical Astronomy
2 Vestnik St. Petersburg University. Mathematics
2 Topological Methods in Nonlinear Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Difference Equations and Applications
2 Sbornik: Mathematics
...and 93 more Serials
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Cited in 55 Fields

453 Ordinary differential equations (34-XX)
436 Dynamical systems and ergodic theory (37-XX)
122 Several complex variables and analytic spaces (32-XX)
59 Partial differential equations (35-XX)
48 Algebraic geometry (14-XX)
32 Functions of a complex variable (30-XX)
30 Global analysis, analysis on manifolds (58-XX)
26 Mechanics of particles and systems (70-XX)
21 Manifolds and cell complexes (57-XX)
18 Numerical analysis (65-XX)
15 Fluid mechanics (76-XX)
14 Differential geometry (53-XX)
13 Probability theory and stochastic processes (60-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Biology and other natural sciences (92-XX)
9 Mathematical logic and foundations (03-XX)
9 Combinatorics (05-XX)
9 Field theory and polynomials (12-XX)
9 Special functions (33-XX)
9 Difference and functional equations (39-XX)
8 Nonassociative rings and algebras (17-XX)
8 Group theory and generalizations (20-XX)
8 Topological groups, Lie groups (22-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Operator theory (47-XX)
7 Computer science (68-XX)
7 Systems theory; control (93-XX)
6 Associative rings and algebras (16-XX)
6 Measure and integration (28-XX)
6 Quantum theory (81-XX)
4 History and biography (01-XX)
4 Number theory (11-XX)
4 Commutative algebra (13-XX)
4 Approximations and expansions (41-XX)
4 Calculus of variations and optimal control; optimization (49-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)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-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 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

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