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Scopus Author ID: 56260890300

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Employment (3)

National Research University Higher School of Economics: Moscow, RU

2009 to present | Professor (Faculty of Mathematics)
Employment
Source: Self-asserted source
Yulij S. Ilyashenko

Independent University of Moscow: Moscow, RU

2000-02 to present | President
Employment
Source: Self-asserted source
Yulij S. Ilyashenko

Lomonosov Moscow State University: Moscow, RU

1996-08 to present | Professor (Department of Mechanics and Mathematics)
Employment
Source: Self-asserted source
Yulij S. Ilyashenko

Education and qualifications (1)

Lomonosov Moscow State University: Moscow, RU

1969 | PhD (Department of Mechanics and Mathematics)
Education
Source: Self-asserted source
Yulij S. Ilyashenko

Works (35)

Finiteness theorems for limit cycles: A digest of the revised proof

Izvestiya Mathematics
2016 | Journal article
DOI: 10.1070/IM8352
EID:

2-s2.0-84969263621
Contributors: Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Sternberg Linearization Theorem for Skew Products

Journal of Dynamical and Control Systems
2016 | Journal article
DOI: 10.1007/s10883-016-9319-6
EID:

2-s2.0-84966559941
Contributors: Ilyashenko, Y.; Romaskevich, O.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Scientific Heritage of Vladimir Mikhailovich Millionshchikov

Journal of Mathematical Sciences (United States)
2015 | Journal article
DOI: 10.1007/s10958-015-2551-x
EID:

2-s2.0-84941344824
Contributors: Astashova, I.V.; Borovskikh, A.V.; Bykov, V.V.; Vetokhin, A.N.; Goritskii, A.Y.; Izobov, N.A.; Il’yashenko, Y.S.; Kapustina, T.O.; Kozlov, V.V.; Kon’kov, A.A. et al.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle

Publicacions Matematiques
2014 | Journal article
DOI: 10.5565/PUBLMAT_Extra14_15
EID:

2-s2.0-84989846360
Contributors: Ilyashenko, Yu.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Hölder properties of perturbed skew products and Fubini regained

Nonlinearity
2012 | Journal article
DOI: 10.1088/0951-7715/25/8/2377
EID:

2-s2.0-84864238276
Contributors: Ilyashenko, Yu.; Negut, A.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Multidimensional bony attractors

Functional Analysis and its Applications
2012 | Journal article
DOI: 10.1007/s10688-012-0032-2
EID:

2-s2.0-84871275167
Contributors: Ilyashenko, Y.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Relatively unstable attractors

Proceedings of the Steklov Institute of Mathematics
2012 | Journal article
DOI: 10.1134/s0081543812040074
EID:

2-s2.0-84904045443
Contributors: Ilyashenko, Y.S.; Shilin, I.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations

Functional Analysis and its Applications
2011 | Journal article
DOI: 10.1007/s10688-011-0023-8
EID:

2-s2.0-80053482678
Contributors: Ilyashenko, Y.S.; Ryzhov, D.A.; Filimonov, D.A.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Thick attractors of boundary preserving diffeomorphisms

Indagationes Mathematicae
2011 | Journal article
DOI: 10.1016/j.indag.2011.09.006
EID:

2-s2.0-81055126977
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Total rigidity of generic quadratic vector fields

Moscow Mathematical Journal
2011 | Journal article
EID:

2-s2.0-79961015132
Contributors: Ilyashenko, Y.; Moldavskis, V.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Weak total rigidity for polynomial vector fields of arbitrary degree

Moscow Mathematical Journal
2011 | Journal article
EID:

2-s2.0-79961014893
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

A restricted version of Hilbert's 16th problem for quadratic vector fields

Moscow Mathematical Journal
2010 | Journal article
EID:

2-s2.0-79961007774
Contributors: Ilyashenko, Y.; Llibre, J.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Cascades of ε-invisibility

Journal of Fixed Point Theory and Applications
2010 | Journal article
DOI: 10.1007/s11784-010-0005-0
EID:

2-s2.0-77953358880
Contributors: Ilyashenko, Y.; Volk, D.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Invisible parts of attractors

Nonlinearity
2010 | Journal article
DOI: 10.1088/0951-7715/23/5/010
EID:

2-s2.0-77951125255
Contributors: Ilyashenko, Yu.; Negut, A.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Thick attractors of step skew products

Regular and Chaotic Dynamics
2010 | Journal article
DOI: 10.1134/S1560354710020188
EID:

2-s2.0-77951935230
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Diffeomorphisms with intermingled attracting basins

Functional Analysis and its Applications
2008 | Journal article
DOI: 10.1007/s10688-008-0043-1
EID:

2-s2.0-58449114173
Contributors: Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins

Journal of Fixed Point Theory and Applications
2008 | Journal article
DOI: 10.1007/s11784-008-0088-z
EID:

2-s2.0-50849113092
Contributors: Ilyashenko, Y.S.; Kleptsyn, V.A.; Saltykov, P.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Some open problems in real and complex dynamical systems

Nonlinearity
2008 | Journal article
DOI: 10.1088/0951-7715/21/7/T01
EID:

2-s2.0-44949156321
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Total rigidity of polynomial foliations on the complex projective plane

Proceedings of the Steklov Institute of Mathematics
2007 | Journal article
DOI: 10.1134/S0081543807040050
EID:

2-s2.0-38849204350
Contributors: Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Variation of argument and bernstein index for holomorphic functions on riemann surfaces

Mathematical Research Letters
2007 | Journal article
EID:

2-s2.0-34547400971
Contributors: Ilyashenko, Yu.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Vladimir igorevich arnold in the eyes of his students

Proceedings of the Steklov Institute of Mathematics
2007 | Journal article
DOI: 10.1134/S0081543807040013
EID:

2-s2.0-73249133601
Contributors: Davydov, A.A.; Gusein-Zade, S.M.; Ilyashenko, Y.S.; Kazaryan, M.E.; Khovanskii, A.G.; Kushnirenko, A.G.; Lando, S.K.; Varchenko, A.N.; Vassiliev, V.A.; Zakalyukin, V.M.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Persistence theorems and simultaneous uniformization

Proceedings of the Steklov Institute of Mathematics
2006 | Journal article
DOI: 10.1134/S0081543806030096
EID:

2-s2.0-33749419146
Contributors: Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Proceeding of the Steklov Institute of Mathematics: Preface

Proceedings of the Steklov Institute of Mathematics
2006 | Journal article
DOI: 10.1134/S0081543806030011
EID:

2-s2.0-33749374790
Contributors: Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Kupka-Smale theorem for polynomial automorphisms of ℂ<sup>2</sup> and persistence of heteroclinic intersections

Inventiones Mathematicae
2005 | Journal article
DOI: 10.1007/s00222-004-0418-8
EID:

2-s2.0-21244490366
Contributors: Buzzard, G.T.; Hruska, S.L.; Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Nonremovable zero Lyapunov exponent

Functional Analysis and its Applications
2005 | Journal article
DOI: 10.1007/s10688-005-0014-8
EID:

2-s2.0-18144381949
Contributors: Gorodetski, A.S.; Ilyashenko, Yu.S.; Kleptsyn, V.A.; Nalsky, M.B.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

A proof of Kolmogorov's theorem

Discrete and Continuous Dynamical Systems
2004 | Journal article
EID:

2-s2.0-2142714438
Contributors: Hubbard, J.; Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Centennial history of Hilbert's 16th problem

Bulletin of the American Mathematical Society
2002 | Journal article
DOI: 10.1090/S0273-0979-02-00946-1
EID:

2-s2.0-0035997405
Contributors: Ilyashenko, Yu.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Normal forms near a saddle-node and applications to finite cyclicity of graphics

Ergodic Theory and Dynamical Systems
2002 | Journal article
DOI: 10.1017/S0143385702000391
EID:

2-s2.0-0035994719
Contributors: Dumortier, F.; Ilyashenko, Y.; Rousseau, C.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Hubert-type numbers for Abel equations, growth and zeros of holomorphic functions

Nonlinearity
2000 | Journal article
DOI: 10.1088/0951-7715/13/4/319
EID:

2-s2.0-0034216007
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Certain new robust properties of invariant sets and attractors of dynamical systems

Functional Analysis and its Applications
1999 | Journal article
EID:

2-s2.0-27544511576
Contributors: Gorodetski, A.S.; Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Estimate for the Entropy Dimension of the Maximal Attractor for k-Contracting Systems in an Infinite-Dimensional Space

Russian Journal of Mathematical Physics
1999 | Journal article
EID:

2-s2.0-0033466552
Contributors: Blinchevskaya, M.A.; Ilyashenko, Yu.S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Counting real zeros of analytic functions satisfying linear ordinary differential equations

Journal of Differential Equations
1996 | Journal article
DOI: 10.1006/jdeq.1996.0045
EID:

2-s2.0-0030594278
Contributors: Il'yashenko, Y.; Yakovenko, S.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Minimal and strange attractors

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1996 | Journal article
DOI: 10.1142/S0218127496000679
EID:

2-s2.0-0040240204
Contributors: Gorodetski, A.; Ilyashenko, Yu.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Finitely-smooth norma! forms of local families of diffeomorphisms and vector fields 20150006091938

Russian Mathematical Surveys
1991 | Journal article
DOI: 10.1070/RM1991v046n01ABEH002728
EID:

2-s2.0-84957312349
Contributors: IlYashenko, Y.; Yakovenko, S.YU.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier

Relaxation fast-linear oscillations (RFLO)

Russian Mathematical Surveys
1991 | Journal article
DOI: 10.1070/RM1991v046n02ABEH002786
EID:

2-s2.0-84957127740
Contributors: Ilyashenko, Y.
Source: Self-asserted source
Yulij S. Ilyashenko via Scopus - Elsevier
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