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Ilyashenko, Yulij Sergeevich

Statistics
in MathSciNet: 168 (126)
in zbMATH: 117 (101)
in Web of Science: 70 (50)
in Scopus: 59 (57)
Professor
Doctor of physico-mathematical sciences (1994)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 4.11.1943
E-mail: , ,
Keywords: dynamical systems, attractors, bifurcation theory, relaxation oscilations, limit cycles, Abelian integrals.

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.

https://www.mathnet.ru/eng/person15609
List of publications on Google Scholar
https://zbmath.org/authors/ai:ilyashenko.yulij-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/190226
https://elibrary.ru/author_items.asp?authorid=4211

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2026
1. A. A. Glutsyuk, Yu. S. Ilyashenko, “Uniqueness theorem for completely non-degenerate B-groups”, Izv. RAN. Ser. matem., 90:1 (2026) (to appear)  mathnet; (to appear)

   2025
2. Dmitry A. Filimonov, Yulij S. Ilyashenko, “Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold”, Regul. Chaotic Dyn., 30:2 (2025), 279–290  mathnet  crossref; 1
3. Yulij S. Ilyashenko, “Functional Invariants in Semilocal Bifurcations”, Regul. Chaotic Dyn., 30:4 (2025), 618–627  mathnet  crossref;

   2020
4. N. B. Goncharuk, Yu. S. Ilyashenko, “Various Equivalence Relations in Global Bifurcation Theory”, Proc. Steklov Inst. Math., 310 (2020), 78–97  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2019
5. N. Goncharuk, Y. Ilyashenko, N. Solodovnikov, “Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$”, Mosc. Math. J., 19:4 (2019), 709–737  mathnet  crossref  mathscinet  isi  scopus;  mathscinet  zmath 8

   2018
6. Yu. Ilyashenko, N. Solodovnikov, “Global bifurcations in generic one-parameter families with a separatrix loop on $S^2$”, Mosc. Math. J., 18:1 (2018), 93–115  mathnet  crossref  isi  scopus 9

   2016
7. Yu. S. Ilyashenko, “Finiteness theorems for limit cycles: a digest of the revised proof”, Izv. Math., 80:1 (2016), 50–112  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2014
8. Yu. Ilyashenko, “Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle”, Publ. Mat., 2014, EXTRA, 279–296  mathnet  crossref  mathscinet  isi  elib  scopus 1

   2015
9. I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, N. A. Izobov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. V. Palin, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, E. V. Radkevich, O. S. Rozanova, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Scientific heritage of Vladimir Mikhailovich Millionshchikov”, J. Math. Sci. (N. Y.), 210:2 (2015), 115–134  mathnet  crossref

   2012
10. Yu. S. Ilyashenko, I. S. Shilin, “Relatively unstable attractors”, Proc. Steklov Inst. Math., 277 (2012), 84–93  mathnet  crossref  mathscinet  isi  elib  elib  scopus
11. Yu. S. Ilyashenko, “Multidimensional Bony Attractors”, Funct. Anal. Appl., 46:4 (2012), 239–248  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
12. Yu. Ilyashenko, A. Negut, “Hölder properties of perturbed skew products and Fubini regained”, Nonlinearity, 25:8 (2012), 2377–2399  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 8

   2011
13. Yu. Ilyashenko, “Thick attractors of boundary preserving diffeomorphisms”, Indag. Math. (N.S.), 22:3-4 (2011), 257–314  crossref  mathscinet  zmath  isi  scopus 12
14. Yu. Ilyashenko, “Weak total rigidity for polynomial vector fields of arbitrary degree”, Mosc. Math. J., 11:2 (2011), 259–263  mathnet  crossref  mathscinet  isi  elib  scopus 1
15. Yu. S. Ilyashenko, D. A. Ryzhov, D. A. Filimonov, “Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations”, Funct. Anal. Appl., 45:3 (2011), 192–203  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
16. Yu. Ilyashenko, V. Moldavskis, “Total rigidity of generic quadratic vector fields”, Mosc. Math. J., 11:3 (2011), 521–530  mathnet  crossref  mathscinet  isi  elib  scopus 4

   2010
17. Yu. Ilyashenko, Jaume Llibre, “A restricted version of Hilbert's 16th problem for quadratic vector fields”, Mosc. Math. J., 10:2 (2010), 317–335  mathnet  crossref  mathscinet  isi  elib  scopus 4
18. Yu. Ilyashenko, D. Volk, “Cascades of $\epsilon$-invisibility”, J. Fixed Point Theory Appl., 7:1 (2010), 161–188  crossref  mathscinet  zmath  isi  elib  scopus 5
19. Yu. Ilyashenko, “Thick attractors of step skew products”, Regul. Chaotic Dyn., 15:2-3 (2010), 328–334  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 14
20. Yu. Ilyashenko, A. Negut, “Invisible parts of attractors”, Nonlinearity, 23:5 (2010), 1199–1219  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 10
21. Yu. S. Ilyashenko, A. B. Sossinsky, “The independent University of Moscow”, Eur. Math. Soc. Newsl., 2010, no. 75, 38–44  mathscinet  zmath

   2009
22. Yu. Ilyashenko, Veigu Li, Nelokalnye bifurkatsii, Novye matematicheskie distsipliny, MTsNMO, M., 2009 , 416 pp.

   2008
23. Yu. S. Ilyashenko, V. A. Kleptsyn, P. Saltykov, “Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins”, J. Fixed Point Theory Appl., 3:2 (2008), 449–463  crossref  mathscinet  zmath  isi  elib  scopus 24
24. Yu. Ilyashenko, “Some open problems in real and complex dynamical systems”, Nonlinearity, 21:7 (2008), T101–T107  crossref  mathscinet  zmath  isi  scopus 15
25. Yu. Ilyashenko, S. Yakovenko, Lectures on analytic differential equations, Graduate Studies in Mathematics, 86, American Mathematical Society, Providence, RI, 2008 , xiv+625 pp.  mathscinet  zmath
26. Yu. S. Ilyashenko, “Diffeomorphisms with Intermingled Attracting Basins”, Funct. Anal. Appl., 42:4 (2008), 298–307  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2007
27. Yu. Ilyashenko, “Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh)”, Differential equations and quantum groups, IRMA Lect. Math. Theor. Phys., 9, Eur. Math. Soc., Zürich, 2007, 1–8  mathscinet  zmath
28. Yu. Ilyashenko, “Variation of argument and Bernstein index for holomorphic functions on Riemann surfaces”, Math. Res. Lett., 14:3 (2007), 433–442  crossref  mathscinet  zmath  isi  elib  scopus
29. Yu. S. Ilyashenko, “Total Rigidity of Polynomial Foliations on the Complex Projective Plane”, Proc. Steklov Inst. Math., 259 (2007), 60–72  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
30. A. A. Glutsyuk, Yu. S. Ilyashenko, “Restricted version of the infinitesimal Hilbert 16th problem”, Mosc. Math. J., 7:2 (2007), 281–325  mathnet  crossref  mathscinet  zmath  isi 4

   2006
31. A. A. Glutsyuk, Yu. S. Ilyashenko, “Ogranichennaya infinitezimalnaya 16-ya problema Gilberta”, Dokl. RAN, 407:2 (2006), 154–159  mathnet  mathscinet  zmath  elib 2
32. Yu. S. Il'yashenko, “The qualitative theory of differential equations in the plane”, Mathematical events of the twentieth century, Springer, Berlin, 2006, 101–132  crossref  mathscinet  zmath 1
33. Yu. S. Ilyashenko, “Persistence Theorems and Simultaneous Uniformization”, Proc. Steklov Inst. Math., 254 (2006), 184–200  mathnet  crossref  mathscinet  zmath  elib  scopus

   2005
34. Yu. Ilyashenko, “Minimal attractors”, EQUADIFF 2003, World Sci. Publ., Hackensack, NJ, 2005, 421–428  crossref  mathscinet  zmath 4
35. Yu. Ilyashenko, “Persistence theorems for holomorphic foliations and Kupka-Smale property for polynomial automorphisms of $\mathbb C^2$”, EQUADIFF 2003, World Sci. Publ., Hackensack, NJ, 2005, 346–353  crossref  mathscinet  zmath
36. G. T. Buzzard, S. L. Hruska, Yu. Ilyashenko, “Kupka-Smale theorem for polynomial automorphisms of $\mathbb C^2$ and persistence of heteroclinic intersections”, Invent. Math., 161:1 (2005), 45–89  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 15
37. A. S. Gorodetski, Yu. S. Ilyashenko, V. A. Kleptsyn, M. B. Nalsky, “Nonremovable Zero Lyapunov Exponents”, Funct. Anal. Appl., 39:1 (2005), 21–30  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2004
38. Yu. Ilyashenko, “Selected topics in differential equations with real and complex time”, Normal forms, bifurcations and finiteness problems in differential equations, NATO Sci. Ser. II Math. Phys. Chem., 137, Kluwer Acad. Publ., Dordrecht, 2004, 317–354  mathscinet
39. Yu. S. Ilyashenko, A. A. Shcherbakov, “Remarks on the paper: “Covering manifolds for analytic families of leaves of foliations by analytic curves” [Topol. Methods Nonlinear Anal. 11 (1998), no. 2, 361–373] by Ilyashenko”, Topol. Methods Nonlinear Anal., 23:2 (2004), 377–381  mathscinet
40. J. Hubbard, Yu. Ilyashenko, “A proof of Kolmogorov's theorem”, Partial differential equations and applications, Discrete Contin. Dyn. Syst., 10:1-2 (2004), 367–385  crossref  mathscinet  zmath  scopus 2
41. Yu. S. Ilyashenko, “Three gems in the theory of linear differential equations (in the work of A. A. Bolibrukh)”, Russian Math. Surveys, 59:6 (2004), 1079–1091  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2003
42. Yu. S. Il'yashenko, “Centennial history of Hilbert's 16th problem”, Fundamental mathematics today, Nezavis. Mosk. Univ., Moscow, 2003, 135–213  mathscinet
43. Yu. S. Ilyashenko, V. S. Moldavskii, “Morse–Smale circle diffeomorphisms and moduli of elliptic curves”, Mosc. Math. J., 3:2 (2003), 531–540  mathnet  crossref  mathscinet  zmath  isi  elib 4

   2002
44. Yu. Ilyashenko, M. Saprykina, “Embedding theorems for local families and oscillatory slow-fast systems”, Progress in nonlinear science (Nizhny Novgorod, 2001), Vol. 1, RAS, Inst. Appl. Phys., Nizhniĭ Novgorod, 2002, 389–410  mathscinet
45. F. Dumortier, Y. Ilyashenko, C. Rousseau, “Normal forms near a saddle-node and applications to finite cyclicity of graphics”, Ergodic Theory Dynam. Systems, 22:3 (2002), 783–818  crossref  mathscinet  zmath  isi  scopus 4
46. Yu. Ilyashenko, “Centennial history of Hilbert's 16th problem”, Bull. Amer. Math. Soc. (N.S.), 39:3 (2002), 301–354 (electronic)  crossref  mathscinet  zmath  isi  scopus 327

   2001
47. Yu. S. Ilyashenko, A. Panov, “Some upper estimates of the number of limit cycles of planar vector fields with applications to Liénard equations”, Mosc. Math. J., 1:4 (2001), 583–599  mathnet  crossref  mathscinet  zmath  isi 21
48. J. Guckenheimer, Yu. S. Ilyashenko, “The duck and the devil: canards on the staircase”, Mosc. Math. J., 1:1 (2001), 27–47  mathnet  crossref  mathscinet  zmath  isi 32

   2000
49. Yu. Ilyashenko, “Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions”, Nonlinearity, 13:4 (2000), 1337–1342  crossref  mathscinet  zmath  adsnasa  isi  scopus 38
50. A. S. Gorodetski, Yu. S. Ilyashenko, “Certain Properties of Skew Products over a Horseshoe and a Solenoid”, Proc. Steklov Inst. Math., 231 (2000), 90–112  mathnet  mathscinet  zmath

   1999
51. M. A. Blinchevskaya, Yu. S. Ilyashenko, “Estimate for the entropy dimension of the maximal attractor for $k$-contracting systems in an infinite-dimensional space”, Russ. J. Math. Phys., 6:1 (1999), 20–26  mathscinet  zmath  isi
52. Yu. S. Ilyashenko, V. Yu. Kaloshin, “Bifurcation of planar and spatial polycycles: Arnold's program and its development”, The Arnoldfest (Toronto, ON, 1997), Fields Inst. Commun., 24, Amer. Math. Soc., Providence, RI, 1999, 241–271  mathscinet  zmath
53. Yu. Ilyashenko, Veigu Li, Nelokalnye bifurkatsii, Novye matematicheskie distsipliny, MTsNMO, M., 1999 , 415 pp.  mathscinet
54. V. I. Arnold, V. S. Afrajmovich, Yu. S. Il'yashenko, L. P. Shil'nikov, Bifurcation theory and catastrophe theory, Springer-Verlag, Berlin, 1999 , viii+271 pp.  mathscinet  zmath
55. Yu. Ilyashenko, Weigu Li, Nonlocal bifurcations, Mathematical Surveys and Monographs, 66, American Mathematical Society, Providence, RI, 1999 , xiv+286 pp.  mathscinet  zmath
56. A. S. Gorodetski, Yu. S. Ilyashenko, “Certain New Robust Properties of Invariant Sets and Attractors of Dynamical Systems”, Funct. Anal. Appl., 33:2 (1999), 95–105  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   1997
57. Yu. Ilyashenko, “Embedding theorems for local maps, slow-fast systems and bifurcation from Morse-Smale to Smale-Williams”, Topics in singularity theory, Amer. Math. Soc. Transl. Ser. 2, 180, Amer. Math. Soc., Providence, RI, 1997, 127–139  mathscinet  zmath  isi

   1996
58. Yu. S. Ilyashenko, A. S. Pyartli, “Rational differential equations with a nonfree monodromy group at infinity”, Proc. Steklov Inst. Math., 213 (1996), 50–67  mathnet  mathscinet  zmath
59. Yu. S. Ilyashenko, “The nonlinear Riemann–Hilbert problem”, Proc. Steklov Inst. Math., 213 (1996), 6–29  mathnet  mathscinet  zmath

   1997
60. D. V. Anosov, S. Kh. Aranson, V. I. Arnold, I. U. Bronshtein, V. Z. Grines, Yu. S. Il'yashenko, Ordinary differential equations and smooth dynamical systems, Springer-Verlag, Berlin, 1997 , vi+233 pp.  mathscinet  zmath

   1996
61. Yu. S. Ilyashenko, “Preface”, Proc. Steklov Inst. Math., 213 (1996), 1–5  mathnet  zmath
62. Yu. S. Ilyashenko, A. A. Shcherbakov, “On skew cylinders and simultaneous uniformization”, Proc. Steklov Inst. Math., 213 (1996), 104–114  mathnet  mathscinet  zmath
63. Yu. Ilyashenko, “Limit cycles and nonlinear Stokes phenomena”, The Stokes phenomenon and Hilbert's 16th problem (Groningen, 1995), World Sci. Publ., River Edge, NJ, 1996, 7–23  mathscinet  zmath
64. A. Gorodetski, Yu. Ilyashenko, “Minimal and strange attractors”, Nonlinear dynamics, bifurcations and chaotic behavior, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 6:6 (1996), 1177–1183  crossref  mathscinet  isi  scopus 20
65. Yu. Il'yashenko, S. Yakovenko, “Counting real zeros of analytic functions satisfying linear ordinary differential equations”, J. Differential Equations, 126:1 (1996), 87–105  crossref  mathscinet  zmath  adsnasa  isi  scopus 34

   1995
66. Yu. Il'yashenko, S. Yakovenko, “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”, Invent. Math., 121:3 (1995), 613–650  crossref  mathscinet  zmath  adsnasa  isi  scopus 30
67. Yu. Il'yashenko, S. Yakovenko, “Finite cyclicity of elementary polycycles in generic families”, Concerning the Hilbert 16th problem, Amer. Math. Soc. Transl. Ser. 2, 165, Amer. Math. Soc., Providence, RI, 1995, 21–95  mathscinet  zmath
68. Yu. Il'yashenko, S. Yakovenko, “Concerning the Hilbert sixteenth problem”, Concerning the Hilbert 16th problem, Amer. Math. Soc. Transl. Ser. 2, 165, Amer. Math. Soc., Providence, RI, 1995, 1–19  mathscinet  zmath
69. Yu. Ilyashenko, A. Kotova, “Smale's horseshoe. Mathematical footwear that left an imprint”, Quantum, 5:5 (1995), 13–18  mathscinet

   1994
70. Yu. S. Ilyashenko, A. S. Pyartli, “The monodromy group at infinity of a generic polynomial vector field on the complex projective plane”, Russian J. Math. Phys., 2:3 (1994), 275–315  mathscinet  zmath
71. A. M. Arkhipov, Yu. S. Il'yashenko, “Jump of energy from low harmonics to high ones in the multidimensional Kuramoto-Sivashinsky equation”, Selected translations, Selecta Math., 13:3 (1994), 183–196  mathscinet  zmath
72. Yu. S. Il'yashenko, “Normal forms for local families and nonlocal bifurcations”, Complex analytic methods in dynamical systems (Rio de Janeiro, 1992), Astérisque, 222, 1994, 233–258  mathscinet  zmath

   1993
73. Yu. S. Il'yashenko, “Global analysis of the phase portrait of the nonlinear parabolic evolution equation”, Mathematics and modelling, Nova Sci. Publ., Commack, NY, 1993, 1–40  mathscinet  zmath
74. Yu. S. Ilyashenko, “Local dynamics and nonlocal bifurcations”, Bifurcations and periodic orbits of vector fields (Montreal, PQ, 1992), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 408, Kluwer Acad. Publ., Dordrecht, 1993, 279–319  mathscinet  zmath
75. Yu. Ilyashenko, S. Yakovenko, “Finite cyclicity of elementary polycycles”, C. R. Acad. Sci. Paris Sér. I Math., 316:10 (1993), 1081–1086  mathscinet  zmath
76. Yu. S. Il'yashenko, S. Yu. Yakovenko, “Nonlinear Stokes phenomena in smooth classification problems”, Nonlinear Stokes phenomena, Adv. Soviet Math., 14, Amer. Math. Soc., Providence, RI, 1993, 235–287  mathscinet  zmath
77. P. M. Elizarov, Yu. S. Il'yashenko, A. A. Shcherbakov, S. M. Voronin, “Finitely generated groups of germs of one-dimensional conformal mappings, and invariants for complex singular points of analytic foliations of the complex plane”, Nonlinear Stokes phenomena, Adv. Soviet Math., 14, Amer. Math. Soc., Providence, RI, 1993, 57–105  mathscinet  zmath
78. Yu. S. Il'yashenko, “Nonlinear Stokes phenomena”, Nonlinear Stokes phenomena, Adv. Soviet Math., 14, Amer. Math. Soc., Providence, RI, 1993, 1–55  mathscinet  zmath

   1992
79. Ju. S. Il'yashenko, “Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation”, J. Dynam. Differential Equations, 4:4 (1992), 585–615  crossref  mathscinet  zmath  adsnasa  scopus 50

   1991
80. Ju. S. Il'yashenko, “Nonlinear Stokes phenomena”, Dynamical systems and related topics (Nagoya, 1990), Adv. Ser. Dynam. Systems, 9, World Sci. Publ., River Edge, NJ, 1991, 158–165  mathscinet
81. Ju. S. Il'yashenko, “Finiteness theorems for limit cycles”, Proceedings of the International Congress of Mathematicians (Kyoto, 1990), Vol. II, Math. Soc. Japan, Tokyo, 1991, 1259–1269  mathscinet  zmath
82. Ju. S. Il'yashenko, “The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto-Sivashinsky type”, Chaos, 1:2 (1991), 168–173  crossref  mathscinet  zmath  adsnasa  scopus 6
83. Yu. S. Il'yashenko, Finiteness theorems for limit cycles, Translations of Mathematical Monographs, 94, Amer. Math. Soc., Providence, RI, 1991 , x+288 pp.  crossref  mathscinet  zmath 104
84. Yu. S. Il'yashenko, “Finiteness theorems for limit cycles”, Algebra and analysis (Kemerovo, 1988), Amer. Math. Soc. Transl. Ser. 2, 148, Amer. Math. Soc., Providence, RI, 1991, 55–64  mathscinet  zmath
85. Yu. S. Ilyashenko, “Relaxation fast-linear oscillations (RFLO)”, Russian Math. Surveys, 46:2 (1991), 244–245  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
86. Yu. S. Ilyashenko, S. Yu. Yakovenko, “Finitely-smooth normal forms of local families of diffeomorphisms and vector fields”, Russian Math. Surveys, 46:1 (1991), 1–43  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1990
87. Yu. S. Il'yashenko, “Global analysis of the phase portrait of a nonlinear parabolic evolution equation”, Mathematics and modeling, Akad. Nauk SSSR Nauchn. Tsentr Biol. Issled., Pushchino, 1990, 5–32  mathscinet
88. Yu. S. Ilyashenko, A. G. Khovanskii, “Galois groups, Stokes operators and a theorem of Ramis”, Funct. Anal. Appl., 24:4 (1990), 286–296  mathnet  crossref  mathscinet  zmath  isi  scopus
89. Yu. S. Ilyashenko, “Finiteness theorems for limit cycles”, Russian Math. Surveys, 45:2 (1990), 129–203  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1989
90. Yu. S. Il'yashenko, “Theorems on the finiteness of limit cycles”, Fiz.-Mat. Spis. B"lgar. Akad. Nauk., 31(64):4 (1989), 324–329 (1990) (Bulgarian)  mathscinet
91. 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, “Some unsolved problems in the theory of differential equations and mathematical physics”, Russian Math. Surveys, 44:4 (1989), 157–171  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
92. Yu. S. Il'yashenko, “Algebraically and analytically solvable local problems in the theory of ordinary differential equations”, J. Soviet Math., 47:3 (1989), 2570–2584  crossref  mathscinet  scopus

   1986
93. Yu. S. Ilyashenko, “Separatrix lunes of analytic vector fields on the plane”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 1986, no. 4, 25–31, 102  mathnet  mathscinet  mathscinet  zmath  isi 2
94. Yu. S. Ilyashenko, “A steepness test for analytic functions”, Russian Math. Surveys, 41:1 (1986), 229–230  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
95. V. I. Arnol'd, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov, “Bifurcation theory”, Dynamical systems – 5, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 5, VINITI, Moscow, 1986, 5–218  mathnet  mathscinet  zmath

   1988
96. V. I. Arnol'd, Yu. S. Ilyashenko, “Ordinary differential equations”, Encyclopaedia Math. Sci., 1 (1988), 1–148  mathnet  mathscinet  mathscinet  zmath

   1985
97. Yu. S. Ilyashenko, “Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations”, Russian Math. Surveys, 40:6 (1985), 1–49  mathnet  crossref  mathscinet  adsnasa  scopus

   1984
98. Ju. S. Il'ašenko, “The finiteness problem for limit cycles of polynomial vector fields on the plane, germs of saddle resonant vector fields and non-Hausdorff Riemann surfaces”, Topology (Leningrad, 1982), Lecture Notes in Math., 1060, Springer, Berlin, 1984, 290–305  crossref  mathscinet  isi
99. Yu. S. Ilyashenko, “Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane”, Funct. Anal. Appl., 18:3 (1984), 199–209  mathnet  crossref  mathscinet  zmath  isi  scopus

   1983
100. Yu. S. Ilyashenko, “The dimension of attractors of $k$-contracting systems in an infinite-dimensional space”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 1983, no. 3, 52–59  mathnet  mathscinet  mathscinet  zmath  isi 1

   1984
101. P. M. Elizarov, Yu. S. Ilyashenko, “Remarks on the orbital analytic classification of germs of vector fields”, Math. USSR-Sb., 49:1 (1984), 111–124  mathnet  crossref  mathscinet  zmath  scopus

   1983
102. Yu. S. Ilyashenko, A. S. Pyartli, “A polynomial vector field with singular points only of Poincaré type”, Funct. Anal. Appl., 17:4 (1983), 313–315  mathnet  crossref  mathscinet  zmath  isi  scopus
103. Yu. S. Ilyashenko, “O razmernosti attraktorov $k$-szhimayuschikh sistem v beskonechnomernom prostranstve”, Vestn. LGU. Ser. mat., mekh., 1983, no. 3, 59

   1992
104. Yu. S. Il'yashenko, “Weakly contracting systems and attractors of Galerkin approximations of Navier-Stokes equations on the two-dimensional torus”, Selecta Math. Soviet., 11:3 (1992), 203–239  mathscinet  mathscinet  zmath

   1982
105. Iu. S. Il'iashenko, A. N. Chetaev, “On the dimension of attractors for a class of dissipative systems”, J. Appl. Math. Mech., 46:3 (1982), 290–295 (1983)  crossref  mathscinet  zmath  isi  scopus
106. Yu. S. Ilyashenko, A. S. Pyartli, “Materializatsiya rezonansov i raskhodimost normalizuyuschikh ryadov dlya polinomialnykh differentsialnykh uravnenii”, Trudy seminara im. I. G. Petrovskogo, 8, 1982, 111–127  mathscinet  zmath
107. Yu. S. Ilyashenko, “Vlozheniya polozhitelnogo tipa ellipticheskikh krivykh v kompleksnye poverkhnosti”, Tr. MMO, 45, Izd-vo Mosk. un-ta, M., 1982, 37–67  mathnet  mathscinet  zmath 3
108. Yu. S. Ilyashenko, Osobye tochki i predelnye tsikly differentsialnykh uravnenii na veschestvennoi i kompleksnoi ploskosti, Preprint NIVTs AN SSSR, ONTI NIVTs AN SSSR, Puschino, 1982 , 38 pp.

   1981
109. Yu. S. Ilyashenko, A. S. Pyartli, “Materializatsiya rezonansov Puankare i raskhodimost normalizuyuschikh ryadov”, Trudy seminara im. I. G. Petrovskogo, 7, 1981, 3–49  mathscinet  zmath
110. Yu. S. Ilyashenko, “V teorii normalnykh form analiticheskikh differentsialnykh uravnenii pri narushenii uslovii Bryuno raskhodimost-pravilo, skhodimost-isklyuchenie”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 1981, no. 2, 10–16  mathscinet  zmath  isi

   1979
111. Yu. S. Ilyashenko, A. S. Pyartli, “Neighborhoods of zero type imbeddings of complex tori”, Trudy seminara im. I. G. Petrovskogo, 5, 1979, 85–95  mathscinet  zmath
112. Yu. S. Ilyashenko, “Divergence of series reducing an analytic differential equation to linear normal form at a singular point”, Funct. Anal. Appl., 13:3 (1979), 227–229  mathnet  crossref  mathscinet  zmath  scopus

   1978
113. Yu. S. Ilyashenko, “Topologiya fazovykh portretov analiticheskikh differentsialnykh uravnenii na kompleksnoi proektivnoi ploskosti”, Trudy seminara im. I. G. Petrovskogo, 4, 1978, 83–136  mathscinet  zmath
114. Yu. S. Ilyashenko, “The multiplicity of limit cycles that arise in the perturbation of a Hamiltonian equation of the class $\omega'=P_2/Q_1$ in a real and complex domain”, Trudy seminara im. I. G. Petrovskogo, 3, 1978, 49–60  mathscinet  zmath

   1977
115. Yu. S. Ilyashenko, “Zeros of special Abelian integrals in a real domain”, Funct. Anal. Appl., 11:4 (1977), 309–311  mathnet  crossref  mathscinet  zmath  scopus
116. Yu. S. Ilyashenko, “Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem”, Funct. Anal. Appl., 11:2 (1977), 105–113  mathnet  crossref  mathscinet  zmath  scopus

   1976
117. Ju. S. Il'jašenko, “Nondegenerate $B$-groups and simultaneous uniformization”, Some problems in modern function theory, Proc. Conf. Modern Problems of Geometric Theory of Functions (Inst. Math., Acad. Sci. USSR, Novosibirsk, 1976), Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat., Novosibirsk, 1976, 67–74 (Russian)  mathscinet
118. Yu. S. Il'yashenko, “Analytic unsolvability of the stability problem and the problem of topological classification of the singular points of analytic systems of differential equations”, Math. USSR-Sb., 28:2 (1976), 140–152  mathnet  crossref  mathscinet  zmath  isi  scopus

   1973
119. Yu. S. Ilyashenko, “Nondegenerate $B$-groups”, Dokl. AN SSSR, 208 (1973), 1020–1022  mathnet  mathscinet  mathscinet  zmath
120. Yu. S. Ilyashenko, “On the rectification and circle formation problems”, Math. USSR-Sb., 19:2 (1973), 177–189  mathnet  crossref  mathscinet  zmath  scopus

   1972
121. Yu. S. Ilyashenko, “Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem”, Funct. Anal. Appl., 6:3 (1972), 197–202  mathnet  crossref  mathscinet  zmath  scopus
122. Yu. S. Ilyashenko, “Fiberings into analytic curves”, Math. USSR-Sb., 17:4 (1972), 551–569  mathnet  crossref  mathscinet  zmath  scopus
123. Yu. S. Ilyashenko, “Cycle breaking in fiberings on analytic curves”, Math. USSR-Sb., 16:1 (1972), 60–68  mathnet  crossref  mathscinet  zmath  scopus

   1970
124. Yu. S. Ilyashenko, “The nonalgebraic character of the manifold of differential equations with rational right-hand sides and with multiple limit cycles”, Math. USSR-Sb., 12:3 (1970), 453–457  mathnet  crossref  mathscinet  zmath  scopus

   1969
125. Yu. S. Ilyashenko, “Many-valued analytic functions of the elements of a commutative normed ring”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 24:5 (1969), 8–11  mathscinet  zmath
126. Yu. S. Ilyashenko, “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”, Math. USSR-Sb., 9:3 (1969), 365–378  mathnet  crossref  mathscinet  zmath
127. Yu. S. Ilyashenko, “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”, Math. USSR-Sb., 7:3 (1969), 353–364  mathnet  crossref  mathscinet  zmath

   1968
128. Yu. S. Ilyashenko, “Density of an individual solution and ergodicity of a family of solutions to the equation $d\eta/d\xi=P(\xi,\,\eta)/Q(\xi,\,\eta)$”, Math. Notes, 4:6 (1968), 934–938  mathnet  crossref  mathscinet  zmath  scopus

   1962
129. V. A. Efremovich, Yu. S. Ilyashenko, “Regular polygons in $E^n$”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekh., 1962, no. 5, 18–24  mathscinet  zmath

Presentations in Math-Net.Ru
1. Законы Кеплера — доказательство, понятное школьникам
Yu. S. Ilyashenko
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024
July 28, 2024 09:30   
2. Хаос и порядок в динамических системах — 2
Yu. S. Ilyashenko
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 22, 2023 09:30   
3. Хаос и порядок в динамических системах — 1
Yu. S. Ilyashenko
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 21, 2023 15:30   
4. Cycle preservation and simultaneous uniformization problems
Yu. S. Ilyashenko
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
December 7, 2022 16:45
5. Теоретико-множественные патологии в проблеме устойчивости по Ляпунову
Yu. S. Ilyashenko

November 10, 2022 15:00
6. Large bifurcation supports
Yu. S. Ilyashenko
Joint Mathematical seminar of Saint Petersburg State University and Peking University
May 5, 2022 16:00
7. Заседание посвящено 100-летию Георгия Максимовича Адельсон-Вельского
V. L. Arlazarov, V. M. Tikhomirov, Yu. S. Ilyashenko, A. L. Semenov, M. A. Kronrod
Meetings of the Moscow Mathematical Society
March 29, 2022 18:30   
8. Large bifurcation supports
Yu. S. Ilyashenko
Seminar "Optimal Control and Dynamical Systems"
December 10, 2021 13:00   
9. Andrey Bolibrukh: from a graduate student to academician
Yulij Ilyashenko
International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh
January 30, 2021 17:00   
10. Глобальная теория бифуркаций на плоскости
Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society
May 12, 2020
11. Some news in the global bifurcation theory on the plane
Yu. S. Ilyashenko
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 22, 2020 10:45   
12. Навстречу глобальной теории бифуркаций на плоскости
Yu. S. Ilyashenko
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
November 1, 2019 18:30   
13. Moscow Independent University and Poncelet
Yu. S. Ilyashenko
Colloquium "15 years of the French-Russian Lab"
September 3, 2018 12:30
14. Заседание посвящено 80-летию Владимира Антоновича Зорича
A. V. Zorich, Yu. S. Ilyashenko, V. M. Keselman
Meetings of the Moscow Mathematical Society
March 13, 2018 18:30
15. Global bifurcations on the two sphere
Yu. Ilyashenko
International conference Contemporary mathematics devoted to 80 anniversary of V. I. Arnold
December 20, 2017 10:00   
16. Структурная устойчивость. Лекция
Yu. S. Ilyashenko
XVII Summer School "Contemporary Mathematics", 2017
July 28, 2017 11:15   
17. Les dessins des autres enfants
Yu. S. Ilyashenko

May 25, 2017 15:00   
18. Theory of global bifurcations of vector fields on the two-sphere
Yu. S. Ilyashenko
Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
March 2, 2017 16:00   
19. Бифуркации векторных полей на плоскости. Занятие 2
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2016
July 25, 2016 09:30   
20. Бифуркации векторных полей на плоскости. Лекция 1
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2016
July 24, 2016 15:30   
21. Towards the global bifurcation theory on the plane
Yu. S. Ilyashenko
Mathematics, Theoretical Physics and Data Science 2016 dedicated to anniversaries of Yakov Sinai and Grigory Margulis
July 5, 2016 14:30   
22. Towards a global bifurcation theory on the plane
Yu. S. Ilyashenko
Steklov Mathematical Institute Seminar
April 21, 2016 16:00   
23. Towards the global bifurcation theory on the plane
Yu. S. Ilyashenko
Globus Seminar
February 18, 2016 15:40   
24. Заседание посвящено памяти Дмитрия Викторовича Аносова
A. M. Stepin, L. M. Lerman, V. Z. Grines, S. Yu. Pilyugin, M. I. Zelikin, V. P. Leksin, A. V. Klimenko, Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society
April 7, 2015
25. Спецкурс о теореме конечности для предельных циклов. Лекция 11
Yu. S. Ilyashenko

April 25, 2014 16:45   
26. Спецкурс о теореме конечности для предельных циклов. Лекция 10
Yu. S. Ilyashenko

April 18, 2014 16:45   
27. Спецкурс о теореме конечности для предельных циклов. Лекция 9
Yu. S. Ilyashenko

April 11, 2014 16:45   
28. Спецкурс о теореме конечности для предельных циклов. Лекция 8
Yu. S. Ilyashenko

April 4, 2014 16:45   
29. Спецкурс о теореме конечности для предельных циклов. Лекция 7
Yu. S. Ilyashenko

March 28, 2014 16:45   
30. Спецкурс о теореме конечности для предельных циклов. Лекция 6
Yu. S. Ilyashenko

March 21, 2014 16:45   
31. Спецкурс о теореме конечности для предельных циклов. Лекция 5
Yu. S. Ilyashenko

March 14, 2014 16:45   
32. Спецкурс о теореме конечности для предельных циклов. Лекция 4
Yu. S. Ilyashenko

March 7, 2014 16:45   
33. Спецкурс о теореме конечности для предельных циклов. Лекция 3
Yu. S. Ilyashenko

February 28, 2014 16:45   
34. Спецкурс о теореме конечности для предельных циклов. Лекция 2
Yu. S. Ilyashenko

February 21, 2014 16:45   
35. Finiteness Theorems for Limit Cycles, lecture 1
Yu. S. Ilyashenko

February 14, 2014 16:45   
36. Works of Yu. Ilyashenko in Dynamical Systems
Yu. S. Ilyashenko
Globus Seminar
January 16, 2014 15:40   
37. Limit cycles from Poincare to nowdays
Yu. S. Ilyashenko
International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 21, 2012 12:00   
38. Real algebraic geometry on V. I. Arnold. Lecture 3
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2011
July 27, 2011 11:15   
39. Real algebraic geometry on V. I. Arnold. Lecture 2
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2011
July 26, 2011 11:15   
40. Real algebraic geometry on V. I. Arnold. Lecture 1
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2011
July 25, 2011 11:15   
41. Предельные циклы полиномиальных вектроных полей и слоения комплексной плоскости
Yu. S. Ilyashenko
June 22, 2011 18:00
42. KAM theory for beginners. I
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2010
July 24, 2010 15:30   
43. Seminar dedicated to the 60th anniversary of the birthday of academician A. A. Bolibrukh
D. V. Anosov, Yu. S. Ilyashenko, V. P. Leksin, R. R. Gontsov
Steklov Mathematical Institute Seminar
April 22, 2010 16:00   
44. Аттракторы динамических систем на многообразиях с краем
Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society
March 2, 2010
45. Динамические системы и их аттракторы (история динамических систем в картинках). Лекция 2
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2009
July 23, 2009 15:30   
46. Динамические системы и их аттракторы (история динамических систем в картинках). Лекция 1
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2009
July 21, 2009 15:30   
47. Attractors
Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society
February 26, 2008
48. Аттракторы
Yu. S. Ilyashenko
Seminar "Optimal Control and Dynamical Systems"
February 20, 2008 12:00
49. Полиномиальные слоения в комплексной области
Yu. S. Ilyashenko
Seminar "Optimal Control and Dynamical Systems"
April 26, 2006
50. Эволюционные процессы и философия общности положения. Лекция 2
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2005
July 25, 2005 11:15   
51. Эволюционные процессы и философия общности положения. Лекция 1
Yu. S. Ilyashenko
Summer School "Contemporary Mathematics", 2005
July 24, 2005 17:00   
52. Андрей Болибрух, друг и математик
Yu. S. Ilyashenko
Meetings of the Moscow Mathematical Society
December 28, 2004
53. Infinitesimal Hilbert's 16th problem
Yu. S. Il'yashenko
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 8, 2002
54. Infinitesimal Hilbert's 16th problem
Yu. S. Ilyashenko
Meetings of the St. Petersburg Mathematical Society
April 8, 2002

Books in Math-Net.Ru
  1. Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Trudy Mat. Inst. Steklova, 297, ed. Yu. S. Ilyashenko, A. G. Sergeev, 2017, 343 с.
    http://mi.mathnet.ru/book1639
  2. Yu. S. Ilyashenko, Evolutionary processes and the philosophy of generic position, 2007, 32 с.
    http://mi.mathnet.ru/book2029
  3. Nonlinear analytic differential equations, Collected papers, Trudy Mat. Inst. Steklova, 254, ed. Yu. S. Ilyashenko, E. F. Mishchenko, 2006, 271 с.
    http://mi.mathnet.ru/book267
  4. Yu. S. Ilyashenko, Attractors and their Hausdorff dimension, 2005, 16 с.
    http://mi.mathnet.ru/book2024
  5. Differential equations with real and complex time, Collection of articles, Trudy Mat. Inst. Steklova, 213, ed. Yu. S. Ilyashenko, E. F. Mishchenko, 1997, 240 с.
    http://mi.mathnet.ru/book1059

Organisations