Edit Profile Ilyashenko, Yulij Sergeevich Compute Distance To: Compute Author ID: ilyashenko.yulij-s Published as: Il’yasenko, J. S.; Il’yashenko, Ju. S.; Il’yashenko, Y. S.; Il’yashenko, Yu. S.; Il’yashenko, Yulij; Il’yashenko, Yuliĭ; Ilyashenko, Y.; Ilyashenko, Yu; Ilyashenko, Yu S.; Ilyashenko, Yu.; Ilyashenko, Yu. S.; Ilyashenko, Yuli S.; Ilyashenko, Yulij; Ilyashenko, Yulij S.; Ilyashenko, Yuliǐ Homepage: http://www.mccme.ru/~yulijs/index.html External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND Documents Indexed: 176 Publications since 1962, including 10 Books Biographic References: 3 Publications all top 5 Co-Authors 85 single-authored 10 Arnol’d, Vladimir Igorevich 10 Pyartli, A. S. 10 Yakovenko, Sergei 8 Tsfasman, Michael A. 6 Sosinskiĭ, Alekseĭ Bronislavovich 5 Khovanskiĭ, Askold Georgievich 5 Kondrat’ev, Vladimir Aleksandrovich 5 Kozlov, Valeriĭ Vasil’evich 5 Lando, Sergei K. 4 Oleĭnik, Ol’ga Arsen’evna 4 Sinaĭ, Yakov Grigor’evich 4 Vasil’ev, Viktor Anatol’evich 4 Vishik, Marko Iosifovich 3 Afraimovich, Valentin S. 3 Fuchs, Dmitry Borisovich 3 Gorodetskii, A. S. 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 Glutsyuk, Alexey A. 2 Grines, Vyacheslav Zigmundovich 2 Gusein-Zade, Sabir M. 2 Ibragimov, A. I. 2 Kalashnikov, Anatoliĭ Sergeevich 2 Kirillov, Alexandre Aleksandrovich 2 Kleptsyn, Victor A. 2 Kon’kov, Andrej A. 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 Sergeev, Igor’ Nikolaevich 2 Shamaev, Alexei S. 2 Shaposhnikova, Tatiana A. 2 Shilnikov, Leonid Pavlovich 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 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 Demidov, A. V. 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 Goncharuk, Nataliya Yu. 1 Gonchenko, Sergey V. 1 Gordodetski, A. 1 Goritsky, Andrey Yu. 1 Grigor’yan, Alexander Asaturovich 1 Gromov, Mikhael Leonidovich 1 Guckenheimer, John M. 1 Gussein-Zade, S. ...and 112 more Co-Authors all top 5 Serials 18 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 all top 5 Fields 81 Ordinary differential equations (34-XX) 68 Dynamical systems and ergodic theory (37-XX) 26 History and biography (01-XX) 25 Several complex variables and analytic spaces (32-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Algebraic geometry (14-XX) 8 Partial differential equations (35-XX) 7 General and overarching topics; collections (00-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 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 Field theory and polynomials (12-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 111 Publications have been cited 1,118 times in 839 Documents Cited by ▼ Year ▼ Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017Ilyashenko, Yu. 166 2002 Lectures on analytic differential equations. Zbl 1186.34001Ilyashenko, Yulij; Yakovenko, Sergei 149 2008 Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006Il’yashenko, Yu. S.; Yakovenko, S. Yu. 52 1991 Ordinary differential equations. Zbl 0659.58012Arnol’d, V. I.; Il’yashenko, Yu. S. 46 1988 Nonlocal bifurcations. Zbl 1120.37308Ilyashenko, Yu.; Li, Weigu 28 1999 Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074Il’yashenko, Ju. S. 27 1992 Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002Arnol’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. 26 1989 Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ 25 1996 Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028Ilyashenko, Yu 21 2000 Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036Il’yashenko, Yu. S. 21 1991 Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins. Zbl 1151.37028Ilyashenko, Yuli S.; Kleptsyn, Victor A.; Saltykov, Petr 20 2008 Finiteness theorems for limit cycles. Zbl 0753.34015Il’yashenko, Ju. S. 20 1991 Nonremovable zero Lyapunov exponent. Zbl 1134.37347Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B. 19 2005 Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane. Zbl 1010.32501Elizarov, P. M.; Il’yashenko, Yu. S.; Shcherbakov, A. A.; Voronin, S. M. 19 1993 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 0865.34007Il’yashenko, Yulij; Yakovenko, Sergej 16 1995 Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015Gorodetskii, A. S.; Il’yashenko, Yu. S. 15 1999 Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021Ilyashenko, Yu.; Yakovenko, S. 14 1995 Nonlinear Stokes phenomena. Zbl 0804.32011Il’yashenko, Yu. S. 14 1993 Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012Il’yashenko, Yu. S.; Yakovenko, S. Yu. 14 1991 The topology of phase-portraits of analytic differential equations on the complex projective plane. Zbl 0418.34007Il’yashenko, Yu. S. 14 1978 Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017Gorodetski, A. S.; Ilyashenko, Yu. S. 13 2000 Minimal and strange attractors. Zbl 0874.58032Gordodetski, A.; Ilyashenko, Yu. 13 1996 Finiteness theorems for limit cycles. Zbl 0768.34017Il’yashenko, Yu. S. 13 1991 Thick attractors of step skew products. Zbl 1225.37033Ilyashenko, Yu. 12 2010 The duck and the devil: Canards on the staircase. Zbl 0985.34035Guckenheimer, J.; Ilyashenko, Yu. 12 2001 Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0564.34034Il’yashenko, Yu. S. 12 1984 The origin of limit cycles under perturbation of the equation \(dw/dz = - R_ z/R_ w\), where \(R(z,w)\) is a polynomial. Zbl 0194.40102Il’yashenko, Yu. S. 12 1970 Some open problems in real and complex dynamical systems. Zbl 1183.37016Ilyashenko, Yu 11 2008 Dulac’s memoir “On limit cycles” and related problems of the local theory of differential equations. Zbl 0668.34032Il’yashenko, Yu. S. 11 1986 Bifurcation theory. Zbl 0797.58003Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P. 11 1986 Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations. Zbl 1271.34052Ilyashenko, Yu. S.; Ryzhov, D. A.; Filimonov, D. A. 10 2011 Thick attractors of boundary preserving diffeomorphisms. Zbl 1262.37014Ilyashenko, Yu. 10 2011 Some upper estimates on the number of limit cycles of planar vector fields with applications to Liénard equations. Zbl 1008.34027Ilyashenko, Yu.; Panov, A. 10 2001 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 0858.34001Anosov, D. V.; Aranson, S. Kh.; Arnold, V. I.; Bronshtein, I. U.; Grines, V. Z.; Il’yashenko, Yu. S. 10 1997 Hölder properties of perturbed skew products and Fubini regained. Zbl 1255.37008Ilyashenko, 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 1038.37500Arnold, V. I.; Afraĭmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P. 9 1999 Invisible parts of attractors. Zbl 1204.37017Ilyashenko, Yu; Negut, A. 8 2010 Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012Il’yashenko, Yu. S.; Yakovenko, S. Yu. 8 1993 Finiteness theorems for limit cycles. Zbl 0731.34027Il’yashenko, Yu. S. 8 1990 The monodromy group at infinity of a generic polynomial vector field on the complex projective plane. Zbl 0915.34005Ilyashenko, Yulij S.; Pyartli, A. S. 7 1994 Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I. 6 2018 Towards the general theory of global planar bifurcations. Zbl 1365.37046Ilyashenko, Y. 6 2016 Diffeomorphisms with intermingled attracting basins. Zbl 1157.37007Ilyashenko, Yu. S. 6 2008 Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections. Zbl 1077.37033Buzzard, Gregery T.; Hruska, Suzanne Lynch; Ilyashenko, Yulij 6 2005 Concerning the Hilbert 16th problem. Zbl 0819.00005Ilyashenko, Yu. (ed.); Yakovenko, S. (ed.) 6 1995 Dynamical systems. I: Ordinary differential equations. Zbl 0602.58020Arnol’d, V. I.; Il’yashenko, Yu. S. 6 1985 Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044Dumortier, F.; Ilyashenko, Y.; Rousseau, C. 5 2002 Covering manifolds for analytic families of leaves of foliations by analytic curves. Zbl 0927.32020Ilyashenko, Yulij S. 5 1998 Concerning the Hilbert sixteenth problem. Zbl 0828.34020Ilyashenko, Yu.; Yakovenko, S. 5 1995 Materialization of Poincaré resonances and divergence of normalizing series. Zbl 0575.34037Il’yashenko, Yu. S.; Pyartli, A. S. 5 1985 Zeros of special abelian integrals in a real domain. Zbl 0413.58011Il’yashenko, Yu. S. 5 1978 Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem. Zbl 0267.34025Il’yashenko, Yu. S. 5 1973 Total rigidity of generic quadratic vector fields. Zbl 1333.37063Ilyashenko, Yu.; Moldavskis, V. 4 2011 A restricted version of Hilbert’s 16th problem for quadratic vector fields. Zbl 1239.34029Ilyashenko, Yu.; Llibre, Jaume 4 2010 Persistence theorems and simultaneous uniformization. Zbl 1351.37199Ilyashenko, Yu. S. 4 2006 The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type. Zbl 0900.35354Il’yashenko, Ju. S. 4 1991 A steepness criterion for analytic functions. Zbl 0597.32003Il’yashenko, Yu. S. 4 1986 Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0549.34033Il’yashenko, Yu. S. 4 1984 Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003Elizarov, P. M.; Il’yashenko, Yu. S. 4 1984 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 0494.34018Il’yashenko, Yu. S. 4 1982 Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 07206626Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N. 3 2019 Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061Ilyashenko, Yu.; Solodovnikov, N. 3 2018 Cascades of \(\epsilon \)-invisibility. Zbl 1205.37031Ilyashenko, Yu.; Volk, D. 3 2010 Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019Glutsyuk, A.; Ilyashenko, Yu. 3 2007 A proof of Kolmogorov’s theorem. Zbl 1069.37043Hubbard, John; Ilyashenko, Yulij 3 2004 Morse-Smale circle diffeomorphisms and moduli of elliptic curves. Zbl 1040.37026Ilyashenko, Yulij; Moldavskis, Vadims 3 2003 Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space. Zbl 1059.37507Blinchevskaya, M. A.; Ilyashenko, Yu. S. 3 1999 Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus. Zbl 0789.35132Il’yashenko, Yu. S. 3 1992 Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013Il’yashenko, Yu. S.; Khovanskij, A. G. 3 1990 Divergence of series reducing an analytic differential equation to linear normal form at a singular point. Zbl 0477.34004Il’yashenko, Yu. S. 3 1980 Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032Ilyashenko, Yu. S. 2 2016 Relatively unstable attractors. Zbl 1310.37007Ilyashenko, 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 1356.34090Ilyashenko, Yulij 2 2007 Bifurcation of planar and spatial polycycles: Arnold’s program and its development. Zbl 0987.37044Ilyashenko, Yu. S.; Kaloshin, V. Yu. 2 1999 Rational differential equations with a nonfree monodromy group at infinity. Zbl 0879.34005Ilyashenko, Yu. S.; Pyartli, A. S. 2 1996 Jump of energy from low harmonics to high ones in the multidimensional Kuramoto-Sivashinsky equation. Zbl 0816.35118Arkhipov, A. M.; Il’yashenko, Yu. S. 2 1994 Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026Il’yashenko, Yu. S. 2 1987 Materialization of resonances and divergence of normalizing series for polynomial differential equations. Zbl 0581.34013Il’yashenko, Yu. S.; Pyartli, A. S. 2 1986 On the dimension of attractors of k-contracting systems in an infinite-dimensional space. Zbl 0547.58026Il’yashenko, Yu. S. 2 1983 Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006Il’yashenko, Yu. S. 2 1982 On the dimension of attractors for a class of dissipative systems. Zbl 0526.58029Il’yashenko, Yu. S.; Chetaev, A. N. 2 1982 The materialization of Poincaré resonances and the divergence of normalizing series. Zbl 0545.34033Il’yashenko, Yu. S.; Pyartli, A. S. 2 1981 Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis’ theorem. Zbl 0414.34004Il’yashenko, Yu. S. 2 1977 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 0214.09404Il’yashenko, Y. S. 2 1970 Attractors and skew products. Zbl 1394.37046Ilyashenko, Yu.; Shilin, I. 1 2017 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, 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 Multidimensional bony attractors. Zbl 1273.37021Ilyashenko, Yu. S. 1 2012 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 Preface. Zbl 1350.00006Ilyashenko, Yu. S. (ed.) 1 2006 The qualitative theory of differential equations in the plane. Zbl 1088.01012Il’yashenko, Yu. S. 1 2006 Minimal attractors. Zbl 1102.37016Ilyashenko, Yu. 1 2005 On skew cylinders and simultaneous uniformization. Zbl 0911.32033Il’yashenko, Yu. S.; Shcherbakov, A. A. 1 1997 Differential equations with real and complex time. Collection of articles. Zbl 0884.00026Il’yashenko, Yu. S. (ed.); Mishchenko, E. F. (ed.) 1 1997 On skew cylinders and simultaneous uniformization. Zbl 0932.32021Il’yashenko, Yu. S.; Shcherbakov, A. A. 1 1996 The nonlinear Riemann-Hilbert problem. Zbl 0883.34008Ilyashenko, Yu. S. 1 1996 Limit cycles and nonlinear Stokes phenomena. Zbl 0863.34029Ilyashenko, Yu. 1 1996 Normal forms for local families and nonlocal bifurcations. Zbl 0811.58051Ilyashenko, Yu. S. 1 1994 Local dynamics and nonlocal bifurcations. Zbl 0795.58039Ilyashenko, Yulij S. 1 1993 Nonlinear Stokes phenomena. Transl. ed. by A.B. Sossinsky. Zbl 0772.00012Il’yashenko, Yu. S. (ed.) 1 1993 Global analysis of the phase portrait of the nonlinear parabolic evolution equation. Zbl 0806.35070Il’yashenko, Yu. S. 1 1990 Global bifurcations in generic one-parameter families with a parabolic cycle on \(S^2\). Zbl 07206626Goncharuk, N.; Ilyashenko, Yu.; Solodovnikov, N. 3 2019 Global bifurcations in the two-sphere: a new perspective. Zbl 1434.34036Ilyashenko, Yu.; Kudryashov, Yu.; Schurov, I. 6 2018 Global bifurcations in generic one-parameter families with a separatrix loop on \(S^2\). Zbl 1444.34061Ilyashenko, Yu.; Solodovnikov, N. 3 2018 Attractors and skew products. Zbl 1394.37046Ilyashenko, Yu.; Shilin, I. 1 2017 Towards the general theory of global planar bifurcations. Zbl 1365.37046Ilyashenko, Y. 6 2016 Finiteness theorems for limit cycles: a digest of the revised proof. Zbl 1382.34032Ilyashenko, Yu. S. 2 2016 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, 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 1255.37008Ilyashenko, Yu; Negut, A. 9 2012 Relatively unstable attractors. Zbl 1310.37007Ilyashenko, Yu. S.; Shilin, I. S. 2 2012 Multidimensional bony attractors. Zbl 1273.37021Ilyashenko, Yu. S. 1 2012 Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations. Zbl 1271.34052Ilyashenko, Yu. S.; Ryzhov, D. A.; Filimonov, D. A. 10 2011 Thick attractors of boundary preserving diffeomorphisms. Zbl 1262.37014Ilyashenko, Yu. 10 2011 Total rigidity of generic quadratic vector fields. Zbl 1333.37063Ilyashenko, Yu.; Moldavskis, V. 4 2011 Thick attractors of step skew products. Zbl 1225.37033Ilyashenko, Yu. 12 2010 Invisible parts of attractors. Zbl 1204.37017Ilyashenko, Yu; Negut, A. 8 2010 A restricted version of Hilbert’s 16th problem for quadratic vector fields. Zbl 1239.34029Ilyashenko, Yu.; Llibre, Jaume 4 2010 Cascades of \(\epsilon \)-invisibility. Zbl 1205.37031Ilyashenko, Yu.; Volk, D. 3 2010 Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064Abramov, 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 1186.34001Ilyashenko, Yulij; Yakovenko, Sergei 149 2008 Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins. Zbl 1151.37028Ilyashenko, Yuli S.; Kleptsyn, Victor A.; Saltykov, Petr 20 2008 Some open problems in real and complex dynamical systems. Zbl 1183.37016Ilyashenko, Yu 11 2008 Diffeomorphisms with intermingled attracting basins. Zbl 1157.37007Ilyashenko, Yu. S. 6 2008 Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019Glutsyuk, A.; Ilyashenko, Yu. 3 2007 Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh). Zbl 1356.34090Ilyashenko, Yulij 2 2007 Persistence theorems and simultaneous uniformization. Zbl 1351.37199Ilyashenko, Yu. S. 4 2006 Preface. Zbl 1350.00006Ilyashenko, Yu. S. (ed.) 1 2006 The qualitative theory of differential equations in the plane. Zbl 1088.01012Il’yashenko, Yu. S. 1 2006 Nonremovable zero Lyapunov exponent. Zbl 1134.37347Gorodetski, A. S.; Ilyashenko, Yu. S.; Kleptsyn, V. A.; Nalsky, M. B. 19 2005 Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections. Zbl 1077.37033Buzzard, Gregery T.; Hruska, Suzanne Lynch; Ilyashenko, Yulij 6 2005 Minimal attractors. Zbl 1102.37016Ilyashenko, Yu. 1 2005 A proof of Kolmogorov’s theorem. Zbl 1069.37043Hubbard, John; Ilyashenko, Yulij 3 2004 Morse-Smale circle diffeomorphisms and moduli of elliptic curves. Zbl 1040.37026Ilyashenko, Yulij; Moldavskis, Vadims 3 2003 Centennial history of Hilbert’s 16th Problem. Zbl 1004.34017Ilyashenko, Yu. 166 2002 Normal forms near a saddle-node and applications to finite cyclicity of graphics. Zbl 1013.37044Dumortier, F.; Ilyashenko, Y.; Rousseau, C. 5 2002 The duck and the devil: Canards on the staircase. Zbl 0985.34035Guckenheimer, J.; Ilyashenko, Yu. 12 2001 Some upper estimates on the number of limit cycles of planar vector fields with applications to Liénard equations. Zbl 1008.34027Ilyashenko, Yu.; Panov, A. 10 2001 Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions. Zbl 1016.34028Ilyashenko, Yu 21 2000 Certain properties of skew products over a horseshoe and a solenoid. Zbl 1002.37017Gorodetski, A. S.; Ilyashenko, Yu. S. 13 2000 Nonlocal bifurcations. Zbl 1120.37308Ilyashenko, Yu.; Li, Weigu 28 1999 Certain new robust properties of invariant sets and attractors of dynamical systems. Zbl 0939.37015Gorodetskii, A. S.; Il’yashenko, Yu. S. 15 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 1038.37500Arnold, V. I.; Afraĭmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P. 9 1999 Estimate for the entropy dimension of the maximal attractor for \(k\)-contracting systems in an infinite-dimensional space. Zbl 1059.37507Blinchevskaya, M. A.; Ilyashenko, Yu. S. 3 1999 Bifurcation of planar and spatial polycycles: Arnold’s program and its development. Zbl 0987.37044Ilyashenko, Yu. S.; Kaloshin, V. Yu. 2 1999 Covering manifolds for analytic families of leaves of foliations by analytic curves. Zbl 0927.32020Ilyashenko, 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 0858.34001Anosov, D. V.; Aranson, S. Kh.; Arnold, V. I.; Bronshtein, I. U.; Grines, V. Z.; Il’yashenko, Yu. S. 10 1997 On skew cylinders and simultaneous uniformization. Zbl 0911.32033Il’yashenko, Yu. S.; Shcherbakov, A. A. 1 1997 Differential equations with real and complex time. Collection of articles. Zbl 0884.00026Il’yashenko, Yu. S. (ed.); Mishchenko, E. F. (ed.) 1 1997 Counting real zeros of analytic functions satisfying linear ordinary differential equations. Zbl 0847.34010Il’yashenko, Yuliĭ; Yakovenko, Sergeĭ 25 1996 Minimal and strange attractors. Zbl 0874.58032Gordodetski, A.; Ilyashenko, Yu. 13 1996 Rational differential equations with a nonfree monodromy group at infinity. Zbl 0879.34005Ilyashenko, Yu. S.; Pyartli, A. S. 2 1996 On skew cylinders and simultaneous uniformization. Zbl 0932.32021Il’yashenko, Yu. S.; Shcherbakov, A. A. 1 1996 The nonlinear Riemann-Hilbert problem. Zbl 0883.34008Ilyashenko, Yu. S. 1 1996 Limit cycles and nonlinear Stokes phenomena. Zbl 0863.34029Ilyashenko, 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 0865.34007Il’yashenko, Yulij; Yakovenko, Sergej 16 1995 Finite cyclicity of elementary polycycles in generic families. Zbl 0828.34021Ilyashenko, Yu.; Yakovenko, S. 14 1995 Concerning the Hilbert 16th problem. Zbl 0819.00005Ilyashenko, Yu. (ed.); Yakovenko, S. (ed.) 6 1995 Concerning the Hilbert sixteenth problem. Zbl 0828.34020Ilyashenko, Yu.; Yakovenko, S. 5 1995 The monodromy group at infinity of a generic polynomial vector field on the complex projective plane. Zbl 0915.34005Ilyashenko, Yulij S.; Pyartli, A. S. 7 1994 Jump of energy from low harmonics to high ones in the multidimensional Kuramoto-Sivashinsky equation. Zbl 0816.35118Arkhipov, A. M.; Il’yashenko, Yu. S. 2 1994 Normal forms for local families and nonlocal bifurcations. Zbl 0811.58051Ilyashenko, 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 1010.32501Elizarov, P. M.; Il’yashenko, Yu. S.; Shcherbakov, A. A.; Voronin, S. M. 19 1993 Nonlinear Stokes phenomena. Zbl 0804.32011Il’yashenko, Yu. S. 14 1993 Nonlinear Stokes phenomena in smooth classification problems. Zbl 0804.32012Il’yashenko, Yu. S.; Yakovenko, S. Yu. 8 1993 Local dynamics and nonlocal bifurcations. Zbl 0795.58039Ilyashenko, Yulij S. 1 1993 Nonlinear Stokes phenomena. Transl. ed. by A.B. Sossinsky. Zbl 0772.00012Il’yashenko, Yu. S. (ed.) 1 1993 Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074Il’yashenko, Ju. S. 27 1992 Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus. Zbl 0789.35132Il’yashenko, Yu. S. 3 1992 Finitely-smooth normal forms of local families of diffeomorphisms and vector fields. Zbl 0744.58006Il’yashenko, Yu. S.; Yakovenko, S. Yu. 52 1991 Finiteness theorems for limit cycles. Transl. from the Russian by H. H. McFaden. Zbl 0743.34036Il’yashenko, Yu. S. 21 1991 Finiteness theorems for limit cycles. Zbl 0753.34015Il’yashenko, Ju. S. 20 1991 Finitely smooth normal forms of local families of diffeomorphisms. Zbl 0729.58012Il’yashenko, Yu. S.; Yakovenko, S. Yu. 14 1991 Finiteness theorems for limit cycles. Zbl 0768.34017Il’yashenko, Yu. S. 13 1991 The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type. Zbl 0900.35354Il’yashenko, Ju. S. 4 1991 Finiteness theorems for limit cycles. Zbl 0731.34027Il’yashenko, Yu. S. 8 1990 Galois groups, Stokes operators and a theorem of Ramis. Zbl 0719.34013Il’yashenko, Yu. S.; Khovanskij, A. G. 3 1990 Global analysis of the phase portrait of the nonlinear parabolic evolution equation. Zbl 0806.35070Il’yashenko, Yu. S. 1 1990 Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002Arnol’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. 26 1989 Ordinary differential equations. Zbl 0659.58012Arnol’d, V. I.; Il’yashenko, Yu. S. 46 1988 Algebraically and analytically solvable local problems of the theory of ordinary differential equations. Zbl 0647.34026Il’yashenko, Yu. S. 2 1987 Algebraically and analytically solvable local problems in the theory of ordinary differential equations. Zbl 0685.34028Il’yashenko, Yu. S. 1 1987 Dulac’s memoir “On limit cycles” and related problems of the local theory of differential equations. Zbl 0668.34032Il’yashenko, Yu. S. 11 1986 Bifurcation theory. Zbl 0797.58003Arnol’d, V. I.; Afrajmovich, V. S.; Il’yashenko, Yu. S.; Shil’nikov, L. P. 11 1986 A steepness criterion for analytic functions. Zbl 0597.32003Il’yashenko, Yu. S. 4 1986 Materialization of resonances and divergence of normalizing series for polynomial differential equations. Zbl 0581.34013Il’yashenko, Yu. S.; Pyartli, A. S. 2 1986 Dynamical systems. I: Ordinary differential equations. Zbl 0602.58020Arnol’d, V. I.; Il’yashenko, Yu. S. 6 1985 Materialization of Poincaré resonances and divergence of normalizing series. Zbl 0575.34037Il’yashenko, Yu. S.; Pyartli, A. S. 5 1985 Neighborhoods of zero type in embedded complex tori. Zbl 0664.32016Il’yashenko, Yu. S.; Pyartli, A. S. 1 1985 Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0564.34034Il’yashenko, Yu. S. 12 1984 Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane. Zbl 0549.34033Il’yashenko, Yu. S. 4 1984 Remarks on the orbital analytic classification of germs of vector fields. Zbl 0541.32003Elizarov, P. M.; Il’yashenko, Yu. S. 4 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 0588.34024Il’yashenko, Yu. S. 1 1984 On the dimension of attractors of k-contracting systems in an infinite-dimensional space. Zbl 0547.58026Il’yashenko, Yu. S. 2 1983 On the dimension of attractors of k-contracting systems in an infinite- dimensional space. Zbl 0524.58029Il’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 0494.34018Il’yashenko, Yu. S. 4 1982 Positive type imbeddings of elliptic curves into complex surfaces. Zbl 0528.14006Il’yashenko, Yu. S. 2 1982 On the dimension of attractors for a class of dissipative systems. Zbl 0526.58029Il’yashenko, Yu. S.; Chetaev, A. N. 2 1982 The materialization of Poincaré resonances and the divergence of normalizing series. Zbl 0545.34033Il’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 0506.34008Il’yashenko, Yu. S. 1 1981 Divergence of series reducing an analytic differential equation to linear normal form at a singular point. Zbl 0477.34004Il’yashenko, Yu. S. 3 1980 Zero type neighbourhoods of embedded complex tori. Zbl 0455.32012Il’yashenko, Yu. S.; Pyartli, A. S. 1 1979 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 868 Authors 55 Llibre, Jaume 22 Ilyashenko, Yulij Sergeevich 20 Gasull, Armengol 17 Han, Maoan 16 Rousseau, Christiane 16 Zhang, Xiang 13 Giné, Jaume 13 Torregrosa, Joan 13 Yakovenko, Sergei 12 Valls Anglés, Cláudia 11 Glutsyuk, Alexey A. 10 Li, Weigu 10 Novikov, Dmitry 10 Zhao, Liqin 9 Grin, Alexander A. 9 Yu, Pei 8 Fiedler, Bernold 8 Gavrilov, Lubomir 8 Liang, Haihua 8 Teixeira, Marco Antonio 8 Villadelprat, Jordi 7 Bonckaert, Patrick 7 García, Isaac A. 7 Homburg, Ale Jan 7 Mardešić, Pavao 7 Ribón, Javier 7 Rocha, Carlos 7 Yomdin, Yosef 6 Algaba, Antonio 6 Alvarez, María Jesus 6 Binyamini, Gal 6 Bravo, José Luis 6 Cherkas, Leonid A. 6 García, Cristóbal 6 Huang, Jianfeng 6 Kleptsyn, Victor A. 6 Leonov, Gennadiĭ Alekseevich 6 Liu, Changjian 6 Mañosas, Francesc 6 Rebollo-Perdomo, Salomón 6 Turaev, Dmitry V. 6 Wu, Hao 6 Zhang, Zhifen 6 Zhao, Yulin 5 Díaz, Lorenzo Justiniano 5 Dumortier, Freddy 5 Gelfert, Katrin Grit 5 Goncharuk, Nataliya Yu. 5 Gorodetski, Anton 5 Johnson, Tomas 5 Klimeš, Martin 5 Kossovskiy, Il’ya Grigor’evich 5 Li, Chengzhi 5 Maza, Susanna 5 Movasati, Hossein 5 Ortiz-Bobadilla, Laura 5 Reyes, Manuel 5 Rolin, Jean-Philippe 5 Tertychnyĭ, Sergeĭ Ivanovich 5 Wang, Jihua 5 Yang, Jiazhong 5 Żołądek, Henryk 4 Abate, Marco 4 Barrientos, Pablo G. 4 Brudnyi, Alexander 4 Bukhshtaber, Viktor Matveevich 4 Buzzi, Claudio Aguinaldo 4 Chen, Hebai 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 Li, Jibin 4 Mañosa, Víctor 4 Medrado, João C. R. 4 Ramírez, Rafael O. 4 Ramírez, Valentín 4 Rebelo, Julio C. 4 Reis, Helena 4 Resman, Maja 4 Schurov, Ilya 4 Sibony, Nessim 4 Strelcyn, Jean-Marie 4 Stróżyna, Ewa 4 Tian, Yun 4 Tucker, Warwick 4 Volk, Denis Sergeevich 4 Yang, Jihua 4 Yang, Junmin 4 Županović, Vesna 3 Asheghi, Rasoul 3 Ashwin, Peter 3 Ayuso, P. Fortuny 3 Bonatti, Christian 3 Briskin, Miriam ...and 768 more Authors all top 5 Cited in 189 Serials 101 Journal of Differential Equations 39 Journal of Mathematical Analysis and Applications 34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 Annales de l’Institut Fourier 25 Nonlinear Analysis. Theory, Methods & Applications. 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Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Sbornik: Mathematics 2 Izvestiya: Mathematics ...and 89 more Serials all top 5 Cited in 55 Fields 443 Ordinary differential equations (34-XX) 441 Dynamical systems and ergodic theory (37-XX) 120 Several complex variables and analytic spaces (32-XX) 61 Partial differential equations (35-XX) 47 Algebraic geometry (14-XX) 32 Functions of a complex variable (30-XX) 30 Global analysis, analysis on manifolds (58-XX) 25 Mechanics of particles and systems (70-XX) 22 Manifolds and cell complexes (57-XX) 21 Numerical analysis (65-XX) 16 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) 13 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 Nonassociative rings and algebras (17-XX) 9 Topological groups, Lie groups (22-XX) 9 Special functions (33-XX) 9 Difference and functional equations (39-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Group theory and generalizations (20-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) 5 Classical thermodynamics, heat transfer (80-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 General topology (54-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 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) 2 Relativity and gravitational theory (83-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 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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