Edit Profile (opens in new tab) Ilyashenko, Yulij Sergeevich Co-Author Distance Author ID: ilyashenko.yulij-s 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. more...less Homepage: http://www.mccme.ru/~yulijs/index.html External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 173 Publications since 1962, including 5 Books and 1 Additional arXiv Preprint 9 Contributions as Editor · 1 Further Contribution Biographic References: 4 Publications Co-Authors: 272 Co-Authors with 95 Joint Publications 6,359 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 82 Ordinary differential equations (34-XX) 68 Dynamical systems and ergodic theory (37-XX) 31 History and biography (01-XX) 26 Several complex variables and analytic spaces (32-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Algebraic geometry (14-XX) 8 General and overarching topics; collections (00-XX) 8 Partial differential equations (35-XX) 7 Manifolds and cell complexes (57-XX) 6 Functions of a complex variable (30-XX) 4 Algebraic topology (55-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.