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Ilyashenko Yulij Sergeevich
(full list of publications)
| by years | scientific publications | by types |



   2016
1. 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  isi  elib  scopus

   2014
2. 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 (cited: 4)  scopus

   2012
3. Yu. S. Ilyashenko, I. S. Shilin, “Relatively unstable attractors”, Proc. Steklov Inst. Math., 277 (2012), 84–93  mathnet  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)
4. Yu. S. Ilyashenko, “Multidimensional Bony Attractors”, Funct. Anal. Appl., 46:4 (2012), 239–248  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
5. Yu. Ilyashenko, A. Negut, “Hölder properties of perturbed skew products and Fubini regained”, Nonlinearity, 25:8 (2012), 2377–2399  mathnet  crossref  mathscinet (cited: 8)  zmath  adsnasa  isi (cited: 3)  elib (cited: 5)  scopus (cited: 6)

   2011
6. Yu. Ilyashenko, “Thick attractors of boundary preserving diffeomorphisms”, Indag. Math. (N.S.), 22:3-4 (2011), 257–314  crossref  mathscinet (cited: 7)  zmath  isi (cited: 8)  scopus (cited: 10)
7. Yu. Ilyashenko, “Weak total rigidity for polynomial vector fields of arbitrary degree”, Mosc. Math. J., 11:2 (2011), 259–263  mathnet (cited: 1)  mathscinet (cited: 1)  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)
8. 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 (cited: 9)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 7)
9. Yu. Ilyashenko, V. Moldavskis, “Total rigidity of generic quadratic vector fields”, Mosc. Math. J., 11:3 (2011), 521–530  mathnet (cited: 1)  mathscinet (cited: 3)  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)

   2010
10. 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 (cited: 2)  mathscinet (cited: 2)  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
11. Yu. Ilyashenko, D. Volk, “Cascades of $\epsilon$-invisibility”, J. Fixed Point Theory Appl., 7:1 (2010), 161–188  crossref  mathscinet (cited: 3)  zmath  isi (cited: 2)  elib (cited: 3)  scopus (cited: 4)
12. Yu. Ilyashenko, “Thick attractors of step skew products”, Regul. Chaotic Dyn., 15:2-3 (2010), 328–334  crossref  mathscinet (cited: 6)  zmath  isi (cited: 6)  elib (cited: 4)  scopus (cited: 8)
13. Yu. Ilyashenko, A. Negut, “Invisible parts of attractors”, Nonlinearity, 23:5 (2010), 1199–1219  crossref  mathscinet (cited: 9)  zmath  adsnasa  isi (cited: 9)  elib (cited: 9)  scopus (cited: 10)
14. Yu. S. Ilyashenko, A. B. Sossinsky, “The independent University of Moscow”, Eur. Math. Soc. Newsl., 2010, no. 75, 38–44  mathscinet  zmath

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

   2008
16. 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 (cited: 14)  zmath  isi (cited: 13)  elib (cited: 14)  scopus (cited: 18)
17. Yu. Ilyashenko, “Some open problems in real and complex dynamical systems”, Nonlinearity, 21:7 (2008), T101–T107  crossref  mathscinet (cited: 7)  zmath  isi (cited: 5)  scopus (cited: 10)
18. Yu. Ilyashenko, S. Yakovenko, Lectures on analytic differential equations, Graduate Studies in Mathematics, 86, American Mathematical Society, Providence, RI, 2008 , xiv+625 pp.  mathscinet (cited: 122)  zmath
19. Yu. S. Ilyashenko, “Diffeomorphisms with Intermingled Attracting Basins”, Funct. Anal. Appl., 42:4 (2008), 298–307  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 7)

   2007
20. 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
21. Yu. Ilyashenko, “Variation of argument and Bernstein index for holomorphic functions on Riemann surfaces”, Math. Res. Lett., 14:3 (2007), 433–442  crossref  mathscinet (cited: 1)  zmath  isi  elib  scopus
22. 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
23. A. A. Glutsyuk, Yu. S. Ilyashenko, “Restricted version of the infinitesimal Hilbert 16th problem”, Mosc. Math. J., 7:2 (2007), 281–325  mathnet (cited: 4)  mathscinet (cited: 6)  zmath  isi (cited: 4)

   2006
24. A. A. Glutsyuk, Yu. S. Ilyashenko, “Ogranichennaya infinitezimalnaya 16-ya problema Gilberta”, Dokl. RAN, 407:2 (2006), 154–159  mathnet (cited: 2)  mathscinet (cited: 6)  zmath  elib (cited: 2)
25. 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 (cited: 1)  zmath
26. Yu. S. Ilyashenko, “Persistence Theorems and Simultaneous Uniformization”, Proc. Steklov Inst. Math., 254 (2006), 184–200  mathnet  crossref  mathscinet  elib (cited: 2)  scopus (cited: 1)

   2005
27. Yu. Ilyashenko, “Minimal attractors”, EQUADIFF 2003, World Sci. Publ., Hackensack, NJ, 2005, 421–428  crossref  mathscinet (cited: 2)  zmath
28. 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
29. 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 (cited: 10)  zmath  adsnasa  isi (cited: 6)  elib (cited: 8)  scopus (cited: 9)
30. 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 (cited: 13)  elib (cited: 15)  scopus (cited: 15)

   2004
31. 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 (cited: 8)
32. 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 (cited: 2)
33. 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 (cited: 3)  zmath  scopus (cited: 4)
34. 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 (cited: 1)  elib (cited: 1)  scopus (cited: 1)

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

   2002
37. 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
38. 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 (cited: 9)  zmath  isi (cited: 7)  scopus (cited: 7)
39. Yu. Ilyashenko, “Centennial history of Hilbert's 16th problem”, Bull. Amer. Math. Soc. (N.S.), 39:3 (2002), 301–354 (electronic)  crossref  mathscinet (cited: 129)  zmath  isi (cited: 161)  scopus (cited: 173)

   2001
40. 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 (cited: 12)  mathscinet (cited: 12)  zmath
41. J. Guckenheimer, Yu. S. Ilyashenko, “The duck and the devil: canards on the staircase”, Mosc. Math. J., 1:1 (2001), 27–47  mathnet (cited: 13)  mathscinet (cited: 10)  zmath

   2000
42. Yu. Ilyashenko, “Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions”, Nonlinearity, 13:4 (2000), 1337–1342  crossref  mathscinet (cited: 27)  zmath  adsnasa  isi (cited: 30)
43. 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
44. 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 (cited: 7)  zmath  isi (cited: 8)
45. 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 (cited: 8)  zmath
46. Yu. Ilyashenko, Veigu Li, Nelokalnye bifurkatsii, Novye matematicheskie distsipliny, MTsNMO, M., 1999 , 415 pp.  mathscinet (cited: 3)
47. 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 (cited: 32)  zmath
48. Yu. Ilyashenko, Weigu Li, Nonlocal bifurcations, Mathematical Surveys and Monographs, 66, American Mathematical Society, Providence, RI, 1999 , xiv+286 pp.  mathscinet (cited: 44)  zmath
49. 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 (cited: 16)

   1997
50. 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 (cited: 1)  zmath  isi (cited: 12)
51. Yu. S. Ilyashenko, A. S. Pyartli, “Ratsionalnye differentsialnye uravneniya s nesvobodnoi gruppoi monodromii na beskonechnosti”, Differentsialnye uravneniya s veschestvennym i kompleksnym vremenem, Sbornik statei, Tr. MIAN, 213, Nauka, M., 1997, 56–73  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; Yu. S. Ilyashenko, A. S. Pyartli, “Rational differential equations with a nonfree monodromy group at infinity”, Proc. Steklov Inst. Math., 213 (1996), 50–67  mathscinet  zmath
52. Yu. S. Ilyashenko, “Nelineinaya problema Rimana–Gilberta”, Differentsialnye uravneniya s veschestvennym i kompleksnym vremenem, Sbornik statei, Tr. MIAN, 213, Nauka, M., 1997, 10–34  mathnet (cited: 4)  mathscinet (cited: 5)  zmath; Yu. S. Ilyashenko, “The nonlinear Riemann–Hilbert problem”, Proc. Steklov Inst. Math., 213 (1996), 6–29  mathscinet  zmath
53. 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 (cited: 13)  zmath
54. Yu. S. Ilyashenko, “Predislovie”, Differentsialnye uravneniya s veschestvennym i kompleksnym vremenem, Sbornik statei, Tr. MIAN, 213, Nauka, M., 1997, 5–9  mathnet  zmath; Yu. S. Ilyashenko, “Preface”, Proc. Steklov Inst. Math., 213 (1996), 1–5  zmath
55. Yu. S. Ilyashenko, A. A. Scherbakov, “O kosykh tsilindrakh i odnovremennoi uniformizatsii”, Differentsialnye uravneniya s veschestvennym i kompleksnym vremenem, Sbornik statei, Tr. MIAN, 213, Nauka, M., 1997, 112–122  mathnet (cited: 4)  mathscinet (cited: 6)  zmath; Yu. S. Ilyashenko, A. A. Shcherbakov, “On skew cylinders and simultaneous uniformization”, Proc. Steklov Inst. Math., 213 (1996), 104–114  mathscinet  zmath

   1996
56. 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
57. 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 (cited: 12)  isi (cited: 18)
58. 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 (cited: 33)  zmath  isi (cited: 34)

   1995
59. 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 (cited: 24)  zmath  adsnasa  isi (cited: 22)
60. 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 (cited: 15)  zmath
61. 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 (cited: 14)  zmath
62. Yu. Ilyashenko, A. Kotova, “Smale's horseshoe. Mathematical footwear that left an imprint”, Quantum, 5:5 (1995), 13–18  mathscinet

   1994
63. 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 (cited: 9)  zmath
64. 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 (cited: 1)  zmath
65. 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 (cited: 2)  zmath

   1993
66. 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
67. 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
68. Yu. Ilyashenko, S. Yakovenko, “Finite cyclicity of elementary polycycles”, C. R. Acad. Sci. Paris Sér. I Math., 316:10 (1993), 1081–1086  mathscinet  zmath
69. 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 (cited: 7)  zmath
70. 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 (cited: 28)  zmath
71. Yu. S. Il'yashenko, “Nonlinear Stokes phenomena”, Nonlinear Stokes phenomena, Adv. Soviet Math., 14, Amer. Math. Soc., Providence, RI, 1993, 1–55  mathscinet (cited: 39)  zmath

   1992
72. 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 (cited: 25)  zmath  adsnasa

   1991
73. 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
74. 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 (cited: 1)  zmath
75. 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 (cited: 5)  zmath  adsnasa
76. Yu. S. Il'yashenko, Finiteness theorems for limit cycles, Translations of Mathematical Monographs, 94, Amer. Math. Soc., Providence, RI, 1991 , x+288 pp.  mathscinet (cited: 53)  zmath
77. 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 (cited: 54)  zmath
78. Yu. S. Ilyashenko, “Relaxation fast-linear oscillations (RFLO)”, Russian Math. Surveys, 46:2 (1991), 244–245  mathnet  crossref  mathscinet  zmath  adsnasa  isi
79. 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 (cited: 64)

   1990
80. 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 (cited: 1)
81. 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 (cited: 2)
82. Yu. S. Ilyashenko, “Finiteness theorems for limit cycles”, Russian Math. Surveys, 45:2 (1990), 129–203  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 20)

   1989
83. 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
84. 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 (cited: 35)

   1987
85. Yu. S. Ilyashenko, “Algebraicheski i analiticheski razreshimye lokalnye zadachi teorii obyknovennykh differentsialnykh uravnenii”, Trudy seminara im. I. G. Petrovskogo, 12, 1987, 118–136  mathscinet (cited: 3); 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

   1986
86. 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  mathscinet (cited: 1)  zmath  isi (cited: 1)
87. Yu. S. Ilyashenko, “A steepness test for analytic functions”, Russian Math. Surveys, 41:1 (1986), 229–230  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)
88. 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

   1985
89. V. I. Arnold, Yu. S. Ilyashenko, “Obyknovennye differentsialnye uravneniya”, Dinamicheskie sistemy – 1, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Fundam. napravleniya, 1, VINITI, M., 1985, 7–140  mathnet (cited: 60)  mathscinet (cited: 26)  zmath; V. I. Arnol'd, Yu. S. Ilyashenko, “Ordinary differential equations”, Encyclopaedia Math. Sci., 1 (1988), 1–148  mathscinet (cited: 184)  mathscinet (cited: 184)  zmath
90. 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  isi (cited: 10)

   1984
91. 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 (cited: 2)  isi
92. 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 (cited: 22)

   1983
93. 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  mathscinet (cited: 2)  zmath  isi (cited: 4)
94. P. M. Elizarov, Yu. S. Ilyashenko, “Zamechaniya ob orbitalnoi analiticheskoi klassifikatsii rostkov vektornykh polei”, Matem. sb., 121(163):1(5) (1983), 111–126  mathnet (cited: 10)  mathscinet (cited: 6)  zmath; 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  crossref  mathscinet  zmath
95. 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
96. Yu. S. Ilyashenko, “O razmernosti attraktorov $k$-szhimayuschikh sistem v beskonechnomernom prostranstve”, Vestn. LGU. Ser. mat., mekh., 1983, no. 3, 59

   1982
97. Yu. S. Ilyashenko, “Slabo szhimayuschie sistemy i attraktory galërkinskikh priblizhenii uravnenii Nave–Stoksa na dvumernom tore”, Uspekhi mekhaniki, 5:1-2 (1982), 31–63  mathscinet (cited: 2); 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 (cited: 2)  zmath
98. 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
99. 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
100. Yu. S. Ilyashenko, “Vlozheniya polozhitelnogo tipa ellipticheskikh krivykh v kompleksnye poverkhnosti”, Tr. MMO, 45, Izd-vo Mosk. un-ta, M., 1982, 37–67  mathnet (cited: 2)  mathscinet (cited: 2)  zmath
101. 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
102. Yu. S. Ilyashenko, A. S. Pyartli, “Materializatsiya rezonansov Puankare i raskhodimost normalizuyuschikh ryadov”, Trudy seminara im. I. G. Petrovskogo, 7, 1981, 3–49  mathscinet (cited: 2)  zmath
103. 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
104. 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
105. 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

   1978
106. Yu. S. Ilyashenko, “Topologiya fazovykh portretov analiticheskikh differentsialnykh uravnenii na kompleksnoi proektivnoi ploskosti”, Trudy seminara im. I. G. Petrovskogo, 4, 1978, 83–136  mathscinet (cited: 25)  zmath
107. 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 (cited: 1)  zmath

   1977
108. Yu. S. Ilyashenko, “Zeros of special Abelian integrals in a real domain”, Funct. Anal. Appl., 11:4 (1977), 309–311  mathnet  crossref  mathscinet  zmath
109. 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

   1976
110. 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 (cited: 4)
111. 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 (cited: 2)

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

   1972
114. 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
115. Yu. S. Ilyashenko, “Fiberings into analytic curves”, Math. USSR-Sb., 17:4 (1972), 551–569  mathnet  crossref  mathscinet  zmath
116. Yu. S. Ilyashenko, “Cycle breaking in fiberings on analytic curves”, Math. USSR-Sb., 16:1 (1972), 60–68  mathnet  crossref  mathscinet  zmath

   1970
117. 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

   1969
118. 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
119. 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
120. 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
121. 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

   1962
122. 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
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