Persons: Ilyashenko Yulij Sergeevich

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Ilyashenko Yulij Sergeevich

Statistics Math-Net.Ru
Total publications:	80
Scientific articles:	40
Citations to the author:	250
Cited articles:	31
Citing authors:	123
Presentations:	1

Number of views:
This page:	1759
Abstract pages:	11088
Full texts:	3529
References:	283

Scientific status:

Professor

Scientific degree:

Doctor of physico-mathematical sciences (1994)

Speciality:

01.01.02 (Differential equations)

Birth date:

04.11.1943

Fax:

+7 (495) 336 99 05, +7 (495) 291 65 01

E-mail:

Keywords:

dynamical systems; attractors; bifurcation theory; relaxation oscilations; limit cycles; Abelian integrals.

UDC:

517.91, 517.93, 517.95, 517.9, 517.927.7, 513.7, 516.2, 513.6, 517.92, 517.938

MSC:

34-XX, 35-XX, 37XX

Subject

Ordinary and partial differential equations, dynamical systems, complex analysis.

Main publications

Finiteness theorems for limit cycles // Amer. Math. Soc. Transl., v. 94, 1991, 288 p.
Nonlocal Bifurcations, published by AMS, ser. Mathematical Surveys and Monographs, 1998, v. 66.

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	Diffeomorphisms with Intermingled Attracting Basins Yu. S. Ilyashenko Funkts. Anal. Prilozh., 2008, 42:4, 60–71
2.	Restricted version of the infinitesimal Hilbert 16th problem A. A. Glutsyuk, Yu. S. Ilyashenko Mosc. Math. J., 2007, 7:2, 281–325
3.	Total Rigidity of Polynomial Foliations on the Complex Projective Plane Yu. S. Ilyashenko Tr. Mat. Inst. Steklova, 2007, 259, 64–76
4.	Persistence Theorems and Simultaneous Uniformization Yu. S. Ilyashenko Tr. Mat. Inst. Steklova, 2006, 254, 196–214
5.	Nonremovable Zero Lyapunov Exponents A. S. Gorodetski, Yu. S. Ilyashenko, V. A. Kleptsyn, M. B. Nalsky Funkts. Anal. Prilozh., 2005, 39:1, 27–38
6.	Three gems in the theory of linear differential equations (in the work of A. A. Bolibrukh) Yu. S. Ilyashenko Uspekhi Mat. Nauk, 2004, 59:6(360), 73–84
7.	Morse–Smale circle diffeomorphisms and moduli of elliptic curves Yu. S. Ilyashenko, V. S. Moldavskii Mosc. Math. J., 2003, 3:2, 531–540
8.	Some upper estimates of the number of limit cycles of planar vector fields with applications to Liénard equations Yu. S. Ilyashenko, A. Panov Mosc. Math. J., 2001, 1:4, 583–599
9.	The duck and the devil: canards on the staircase J. Guckenheimer, Yu. S. Ilyashenko Mosc. Math. J., 2001, 1:1, 27–47
10.	Certain Properties of Skew Products over a Horseshoe and a Solenoid A. S. Gorodetski, Yu. S. Ilyashenko Tr. Mat. Inst. Steklova, 2000, 231, 96–118
11.	Certain New Robust Properties of Invariant Sets and Attractors of Dynamical Systems A. S. Gorodetski, Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1999, 33:2, 16–30
12.	On skew cylinders and simultaneous uniformization Yu. S. Ilyashenko, A. A. Shcherbakov Tr. Mat. Inst. Steklova, 1997, 213, 112–122
13.	Rational differential equations with a nonfree monodromy group at infinity Yu. S. Ilyashenko, A. S. Pyartli Tr. Mat. Inst. Steklova, 1997, 213, 56–73
14.	The nonlinear Riemann–Hilbert problem Yu. S. Ilyashenko Tr. Mat. Inst. Steklova, 1997, 213, 10–34
15.	Relaxation fast-linear oscillations (RFLO) Yu. S. Ilyashenko Uspekhi Mat. Nauk, 1991, 46:2(278), 217–218
16.	Finitely-smooth normal forms of local families of diffeomorphisms and vector fields Yu. S. Ilyashenko, S. Yu. Yakovenko Uspekhi Mat. Nauk, 1991, 46:1(277), 3–39
17.	Galois groups, Stokes operators and a theorem of Ramis Yu. S. Ilyashenko, A. G. Khovanskii Funkts. Anal. Prilozh., 1990, 24:4, 31–42
18.	Finiteness theorems for limit cycles Yu. S. Ilyashenko Uspekhi Mat. Nauk, 1990, 45:2(272), 143–200
19.	Some unsolved problems in the theory of differential equations and mathematical physics V. I. Arnol'd, M. I. Vishik, Yu. S. Ilyashenko, A. S. Kalashnikov, V. A. Kondrat'ev, S. N. Kruzhkov, E. M. Landis, V. M. Millionshchikov, O. A. Oleinik, A. F. Filippov, M. A. Shubin Uspekhi Mat. Nauk, 1989, 44:4(268), 191–202
20.	Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics B. V. Boyarsky, O. A. Oleinik, A. V. Babin, M. I. Vishik, Yu. S. Ilyashenko, V. M. Millionshchikov, D. Serr, V. S. Vladimirov, I. V. Volovich, V. V. Zharinov, G. M. Zaslavsky, R. Z. Sagdeev, D. A. Ysikov, A. A. Chernikov, B. A. Malomed, M. I. Tribel'sky Uspekhi Mat. Nauk, 1987, 42:3(255), 221–228
21.	Bifurcation theory V. I. Arnol'd, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1986, 5, 5–218
22.	A steepness test for analytic functions Yu. S. Ilyashenko Uspekhi Mat. Nauk, 1986, 41:1(247), 193–194
23.	Ordinary differential equations V. I. Arnol'd, Yu. S. Ilyashenko Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 1985, 1, 7–140
24.	Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations Yu. S. Ilyashenko Uspekhi Mat. Nauk, 1985, 40:6(246), 41–78
25.	Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics V. Ya. Rivkind, S. P. Novikov, V. M. Petkov, V. P. Myasnikov, M. V. Fedoryuk, V. V. Kucherenko, A. A. Davydov, A. I. Neishtadt, S. N. Kruzhkov, S. A. Molchanov, A. A. Ruzmaikin, D. D. Sokolov, Yu. M. Sukhov, A. G. Shukhov, B. R. Vainberg, V. I. Bakhtin, A. G. Vainshtein, B. Z. Shapiro, V. A. Kondrat'ev, O. A. Oleinik, M. I. Vishik, S. B. Kuksin, A. G. Korolev, Yu. S. Ilyashenko Uspekhi Mat. Nauk, 1985, 40:5(245), 295–307
26.	Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1984, 18:3, 32–42
27.	A polynomial vector field with singular points only of Poincaré type Yu. S. Ilyashenko, A. S. Pyartli Funkts. Anal. Prilozh., 1983, 17:4, 84–85
28.	Remarks on the orbital analytic classification of germs of vector fields P. M. Elizarov, Yu. S. Ilyashenko Mat. Sb. (N.S.), 1983, 121(163):1(5), 111–126
29.	Divergence of series reducing an analytic differential equation to linear normal form at a singular point Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1979, 13:3, 87–88
30.	Zeros of special Abelian integrals in a real domain Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1977, 11:4, 78–79
31.	Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1977, 11:2, 28–38
32.	Analytic unsolvability of the stability problem and the problem of topological classification of the singular points of analytic systems of differential equations Yu. S. Il'yashenko Mat. Sb. (N.S.), 1976, 99(141):2, 162–175
33.	On the rectification and circle formation problems Yu. S. Ilyashenko Mat. Sb. (N.S.), 1973, 90(132):2, 184–195
34.	Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem Yu. S. Ilyashenko Funkts. Anal. Prilozh., 1972, 6:3, 30–37
35.	Fiberings into analytic curves Yu. S. Ilyashenko Mat. Sb. (N.S.), 1972, 88(130):4(8), 558–577
36.	Cycle breaking in fiberings on analytic curves Yu. S. Ilyashenko Mat. Sb. (N.S.), 1972, 87(129):1, 58–66
37.	The nonalgebraic character of the manifold of differential equations with rational right-hand sides and with multiple limit cycles Yu. S. Ilyashenko Mat. Sb. (N.S.), 1970, 83(125):3(11), 452–455
38.	An example of eqations $\frac{dw}{dz}=\frac{P_n(z,w)}{Q_n(z,w)}$ having a countable number of limit cycles and arbitrarily large Petrovskii–Landis genus Yu. S. Ilyashenko Mat. Sb. (N.S.), 1969, 80(122):3(11), 388–404
39.	The origin of limit cycles under perturbation of the equation $\dfrac{dw}{dz}=-\dfrac{R_z}{R_w}$, where $R(z,w)$ is a polynomial Yu. S. Ilyashenko Mat. Sb. (N.S.), 1969, 78(120):3, 360–373
40.	Density of an individual solution and ergodicity of a family of solutions to the equation $d\eta/d\xi=P(\xi, \eta)/Q(\xi, \eta)$ Yu. S. Ilyashenko Mat. Zametki, 1968, 4:6, 741–750

41.	Oleg Sheinman V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Kirillov, I. Krichever, S. Natanzon, S. Novikov, A. Sergeev, A. Sossinsky, M. Tsfasman Mosc. Math. J., 2009, 9:3, 723–724
42.	Armen Sergeev V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, V. Kozlov, S. Natanzon, O. Sheinman, A. Sossinsky, D. Treschev, M. Tsfasman Mosc. Math. J., 2009, 9:2, 439–440
43.	A tribute to Pierre Deligne S. Gusein-Zade, Yu. Ilyashenko, D. Kaledin, A. Kuznetsov, S. Lando, A. Sossinski, M. Tsfasman, V. Vassiliev, A. Vershik Mosc. Math. J., 2009, 9:1, 1–2
44.	Nikolai Nikolaevich Nekhoroshev (obituary) A. M. Abramov, V. I. Arnol'd, A. V. Bolsinov, A. N. Varchenko, L. Galgani, B. I. Zhilinskii, Yu. S. Il'yashenko, V. V. Kozlov, A. I. Neishtadt, V. I. Piterbarg, A. G. Khovanskii, V. V. Yashchenko Uspekhi Mat. Nauk, 2009, 64:3(387), 174–178
45.	Sergey Natanzon S. M. Gusein-Zade, Yu. S. Ilyashenko, G. A. Kabatiansky, S. K. Lando, A. G. Sergeev, O. K. Sheinman, O. V. Schwarzman, M. A. Tsfasman, È. B. Vinberg Mosc. Math. J., 2008, 8:4, 843–844
46.	Ernest Borisovich Vinberg I. V. Arzhantsev, S. M. Gusein-Zade, Yu. S. Ilyashenko, A. L. Onishchik, A. B. Sossinsky, D. A. Timashev, M. A. Tsfasman Mosc. Math. J., 2008, 8:4, 619–620
47.	Аттракторы динамических систем и философия общего положения Yu. S. Ilyashenko Mat. Pros., Series 3, 2008, 12, 13–22
48.	Alexei B. Sossinsky A. V. Chernavskii, Yu. S. Ilyashenko, S. K. Lando, S. V. Matveev, M. A. Tsfasman, V. A. Vassiliev Mosc. Math. J., 2007, 7:4, 763–764
49.	Victor Ginzburg A. A. Beilinson, R. V. Bezrukavnikov, M. V. Finkel'berg, Yu. S. Ilyashenko, A. Kh. Shen', M. A. Tsfasman, D. Kaledin Mosc. Math. J., 2007, 7:4, 579
50.	Vladimir Igorevich Arnold S. M. Gusein-Zade, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, V. M. Zakalyukin Mosc. Math. J., 2007, 7:3, 571
51.	Askold Georgievich Khovanskii V. I. Arnol'd, F. M. Borodich, O. A. Gelfond, Yu. S. Ilyashenko, B. Ya. Kazarnovskii, V. F. Kirichenko, A. B. Sossinski, V. A. Timorin, M. A. Tsfasman, S. Yu. Yakovenko Mosc. Math. J., 2007, 7:2, 169–171
52.	Yuri I. Manin B. L. Feigin, Yu. S. Ilyashenko, A. B. Sossinski, Yu. Tschinkel, M. A. Tsfasman, S. G. Vlăduţ Mosc. Math. J., 2007, 7:1, 163
53.	Vladimir Igorevich Arnold in the Eyes of His Students: On the occasion of his 70th birthday A. N. Varchenko, V. A. Vassiliev, S. M. Gusein-Zade, A. A. Davydov, V. M. Zakalyukin, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Kushnirenko, S. K. Lando, A. G. Khovanskii Tr. Mat. Inst. Steklova, 2007, 259, 5–9
54.	Alexandre A. Kirillov Yu. S. Ilyashenko, S. K. Lando, R. A. Minlos, G. I. Olshanskii, I. M. Shchepochkina, A. B. Sossinski, M. A. Tsfasman, A. M. Vershik Mosc. Math. J., 2006, 6:3, 409
55.	Victor A. Vassiliev V. I. Arnol'd, V. M. Buchstaber, Yu. S. Ilyashenko, M. E. Kazarian, A. G. Khovanskii, S. K. Lando, S. P. Novikov, A. B. Sossinski, M. A. Tsfasman Mosc. Math. J., 2006, 6:1, 1–3
56.	Vladimir Mikhailovich Tikhomirov (on his 70th birthday) V. I. Arnol'd, L. R. Volevich, A. A. Gonchar, S. S. Demidov, M. I. Zelikin, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, A. V. Mikhalev, S. P. Novikov, I. V. Yaschenko Uspekhi Mat. Nauk, 2006, 61:1(367), 187–190
57.	Nikolai Nadirashvili V. G. Drinfeld, A. A. Grigor'yan, Yu. S. Ilyashenko, D. Jakobson, C. E. Kenig, S. B. Kuksin, P. C. Sarnak, M. A. Tsfasman, S. G. Vlăduţ Mosc. Math. J., 2005, 5:4, 969–970
58.	Mikhail A. Tsfasman Yu. S. Ilyashenko, S. K. Lando, Yu. I. Manin, N. S. Nadirashvili, S. Shlosman, A. B. Sossinski, S. G. Vlăduţ Mosc. Math. J., 2005, 5:4, 745–746
59.	John Guckenheimer R. Harris-Warrick, K.-H. Hoffmann, Ph. J. Holmes, Yu. S. Ilyashenko, A. I. Khibnik, M. A. Tsfasman, A. Vladimirsky, W. Weckesser Mosc. Math. J., 2005, 5:3, 739–741
60.	Yakov G. Sinai Yu. S. Ilyashenko, K. M. Khanin, S. Shlosman, M. A. Tsfasman Mosc. Math. J., 2005, 5:3, 497–498
61.	Vladimir M. Tikhomirov V. I. Arnol'd, A. S. Demidov, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, E. F. Mishchenko, K. Yu. Osipenko, A. B. Sossinski, M. A. Tsfasman, V. A. Uspenskii, M. N. Vyalyi, I. V. Yaschenko, M. I. Zelikin Mosc. Math. J., 2005, 5:1, 295
62.	Anatole Katok M. I. Brin, B. Hasselblat, Yu. S. Ilyashenko, A. G. Kushnirenko, Ya. B. Pesin, A. B. Sossinski, M. A. Tsfasman Mosc. Math. J., 2004, 4:4, 977–979
63.	Serge G. Vlăduţ B. L. Feigin, Yu. S. Ilyashenko, Yu. I. Manin, S. B. Shlosman, M. A. Tsfasman Mosc. Math. J., 2004, 4:2, 531–532
64.	Pierre Cartier J.-P. Bourguignon, M. Broué, F. Digne, G. Henniart, Yu. S. Ilyashenko, B. Keller, Y. Kosmann-Schwarzbach, M. Rosso, A. B. Sossinski, M. A. Tsfasman Mosc. Math. J., 2004, 4:1, 3–4
65.	Reminiscences about Andrei Andreevich Bolibrukh A. V. Chernavskii, V. P. Leksin, M. Butuzov, I. V. Vyugin, R. R. Gontsov, V. A. Poberezhnyi, Yu. S. Ilyashenko, A. G. Sergeev, S. P. Konovalov Uspekhi Mat. Nauk, 2004, 59:6(360), 207–215
66.	Sergey Petrovich Novikov V. M. Buchstaber, Yu. S. Ilyashenko, I. M. Krichever, O. K. Sheinman, A. B. Sossinski, M. A. Tsfasman Mosc. Math. J., 2003, 3:4, 1206–1208
67.	Vladimir Igorevich Arnold S. M. Gusein-Zade, Yu. S. Ilyashenko, A. G. Khovanskii, M. A. Tsfasman, V. A. Vassiliev Mosc. Math. J., 2003, 3:2, 261
68.	Victor Buchstaber Yu. S. Ilyashenko, I. M. Krichever, S. P. Novikov, M. A. Tsfasman, V. A. Vassiliev Mosc. Math. J., 2003, 3:1, 257
69.	Alexander Belavin B. L. Feigin, Yu. S. Ilyashenko, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev Mosc. Math. J., 2003, 3:1, 255–256
70.	Andrei Andreevich Bolibrukh (obituary) D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii Uspekhi Mat. Nauk, 2003, 58:6(354), 139–142
71.	Yuri Ivanovich Manin V. A. Ginzburg, Yu. S. Ilyashenko, M. A. Tsfasman, S. G. Vlăduţ Mosc. Math. J., 2002, 2:2, 201
72.	Sergei N. Artemov Yu. S. Ilyashenko, V. B. Shehtman, M. A. Tsfasman Mosc. Math. J., 2001, 1:4, 643
73.	Robert A. Minlos Yu. S. Ilyashenko, V. A. Malyshev, S. B. Shlosman, Ya. G. Sinai, M. A. Tsfasman Mosc. Math. J., 2001, 1:3, 305–306
74.	Евгений Михайлович Ландис Yu. S. Ilyashenko Mat. Pros., Series 3, 1999, 3, 33
75.	Emmanuil El'evich Shnol' (on his 70th birthday) V. I. Arnol'd, R. M. Boricyuk, I. M. Gel'fand, Yu. S. Ilyashenko, V. Yu. Lunin, E. V. Nikolaev, Yu. B. Radvogin, M. A. Roitberg, Ya. G. Sinai, A. I. Khibnik Uspekhi Mat. Nauk, 1999, 54:3(327), 199–204
76.	Evgenii Mikhailovich Landis (obituary) M. I. Vishik, M. L. Gerver, A. I. Ibragimov, Yu. S. Ilyashenko, A. S. Kalashnikov, V. A. Kondrat'ev, A. A. Kosmodem'yanskii, A. D. Myshkis, O. A. Oleinik, E. G. Sitnikova Uspekhi Mat. Nauk, 1998, 53:6(324), 233–238
77.	Vladimir Igorevich Arnol'd (on his 60th birthday) D. V. Anosov, A. A. Bolibrukh, V. A. Vassiliev, A. M. Vershik, A. A. Gonchar, M. L. Gromov, S. M. Gusein-Zade, V. M. Zakalyukin, Yu. S. Ilyashenko, V. V. Kozlov, M. L. Kontsevich, Yu. I. Manin, A. I. Neishtadt, S. P. Novikov, Yu. S. Osipov, M. B. Sevryuk, Ya. G. Sinai, A. N. Tyurin, L. D. Faddeev, B. A. Khesin, A. G. Khovanskii Uspekhi Mat. Nauk, 1997, 52:5(317), 235–255
78.	Preface Yu. S. Ilyashenko Tr. Mat. Inst. Steklova, 1997, 213, 5–9
79.	Inter-College School-Seminar “Differential Equations and Their Applications” Yu. S. Ilyashenko, A. I. Komech, N. Kh. Rozov Uspekhi Mat. Nauk, 1987, 42:5(257), 236–238
80.	Evgenii Mikhailovich Landis (on his sixtieth birthday) M. I. Vishik, Yu. S. Ilyashenko, V. A. Kondrat'ev, O. A. Oleinik Uspekhi Mat. Nauk, 1983, 38:2(230), 219–224

Presentations

Seminar dedicated to the 60th anniversary of the birthday of academician A. A. Bolibrukh
Steklov Mathematical Institute Seminar
April 22, 2010 16:00

Книги в базе данных Math-Net.Ru

Differential equations with real and complex time, Collection of articles, Tr. Mat. Inst. Steklova, 213, ed. Yu. S. Ilyashenko, E. F. Mishchenko, 1997, 240 с.
http://mi.mathnet.ru/book1059
Nonlinear analytic differential equations, Collected papers, Tr. Mat. Inst. Steklova, 254, ed. Yu. S. Ilyashenko, E. F. Mishchenko, 2006, 271 с.
http://mi.mathnet.ru/book267

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