Yulij Ilyashenko

Q: What Schools Are Affiliated With Yulij Ilyashenko

Yulij Ilyashenko is affiliated with the following schools: Higher School of Economics, Cornell University, Moscow State University

Yulij Ilyashenko's AcademicInfluence.com Rankings

Yulij Ilyashenko

Mathematics

#1046

World Rank

#1792

Historical Rank

Measure Theory

#4068

World Rank

#4793

Historical Rank

mathematics Degrees

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Mathematics

Why Is Yulij Ilyashenko Influential?

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According to Wikipedia, Yulij Sergeevich Ilyashenko is a Russian mathematician, specializing in dynamical systems, differential equations, and complex foliations. Ilyashenko received in 1969 from Moscow State University his Russian candidate degree under Evgenii Landis. Ilyashenko was a professor at Moscow State University, an academic at Steklov Institute, and also taught at the Independent University of Moscow. He became a professor at Cornell University.

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Yulij Ilyashenko's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Finiteness Theorems for Limit Cycles (1991) (178)
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields (1991) (148)
Ordinary differential equations and smooth dynamical systems (1997) (112)
Normal Forms, Bifurcations and Finiteness Problems in Differential Equations (2004) (111)
Some unsolved problems in the theory of differential equations and mathematical physics (1989) (58)
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane (1984) (56)
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions (2000) (53)
Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins (2008) (46)
The Duck and the Devil: Canards on the Staircase (2001) (45)
Certain new robust properties of invariant sets and attractors of dynamical systems (1999) (43)
Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations (1985) (43)
Nonremovable zero Lyapunov exponent (2005) (40)
MINIMAL AND STRANGE ATTRACTORS (1996) (35)
Some open problems in real and complex dynamical systems (2008) (30)
Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations (2011) (29)
Divergence of series reducing an analytic differential equation to linear normal form at a singular point (1979) (25)
Some Upper Estimates of the Number of Limit Cycles of Planar Vector Fields with Applications to Liénard Equations (2001) (25)
Algebraic nonsolvability and almost algebraic solvability of the centerfocus problem (1972) (24)
Thick attractors of step skew products (2010) (23)
Covering manifolds for analytic families of leaves of foliations by analytic curves (1998) (22)
Selected topics in differential equations with real and complex time (2004) (21)
A proof of Kolmogorov's theorem (2003) (20)
Thick attractors of boundary preserving diffeomorphisms (2011) (18)
Kupka-Smale theorem for polynomial automorphisms of ℂ2 and persistence of heteroclinic intersections (2005) (17)
A steepness test for analytic functions (1986) (16)
Zeros of special Abelian integrals in a real domain (1977) (16)
Normal forms near a saddle-node and applications to finite cyclicity of graphics (2002) (13)
Global bifurcations in the two-sphere: a new perspective (2015) (11)
Towards the General Theory of Global Planar Bifurcations (2016) (11)
Higher order Poincaré-Pontryagin functions and iterated path integrals (2014) (11)
Global Bifurcations in Generic One-Parameter Families with a Parabolic Cycle on S 2 (2017) (10)
Total rigidity of generic quadratic vector fields (2010) (10)
Diffeomorphisms with intermingled attracting basins (2008) (9)
Large bifurcation supports (2018) (8)
Restricted version of the infinitesimal Hilbert 16th problem (2001) (8)
Persistence theorems and simultaneous uniformization (2006) (6)
A restricted version of the Hilbert's 16th problem for quadratic vector fields (2009) (6)
Morse—Smale Circle Diffeomorphisms and Moduli of Elliptic Curves (2003) (6)
An estimate of the number of zeros of abelian integrals for special hamiltonians of arbitrary degree (2001) (6)
Finite cyclicity of elementary polycycles (1993) (5)
Remarks on the topology of singular points of analytic differential equations in the complex domain and Ladis' theorem (1977) (5)
Relatively unstable attractors (2012) (4)
Three gems in the theory of linear differential equations (in the work of A.A. Bolibrukh) (2004) (4)
Local Dynamics and Nonlocal Bifurcations (1993) (4)
Cascades of ε-invisibility (2010) (3)
Evgenii Mikhailovich Landis (on his sixtieth birthday) (1983) (3)
Multidimensional bony attractors (2012) (3)
Nikolai Nikolaevich Nekhoroshev (obituary) (2009) (2)
Vladimir igorevich arnold in the eyes of his students (2007) (2)
Cascades of e-invisibility (2009) (2)
Sternberg Linearization Theorem for Skew Products (2015) (2)
Askold Georgievich Khovanskii (2007) (2)
Surveys in Modern Mathematics: Contents (2005) (2)
Total rigidity of polynomial foliations on the complex projective plane (2007) (2)
Cascades and e-invisibility (2009) (1)
Density of an individual solution and ergodicity of a family of solutions to the equation dη/dξ=P(ξ, η)/Q(ξ, η) (1968) (1)
Numeric invariants in semilocal bifurcations (2020) (1)
Realization of irreducible monodromy by Fuchsian systems and reduction to the Birkhoff standard form (by Andrey Bolibrukh) (2006) (1)
Germs of bifurcation diagrams and SN-SN families. (2021) (1)
Various Equivalence Relations in Global Bifurcation Theory (2020) (1)
Reminiscences about Andrei Andreevich Bolibrukh (2004) (0)
Math in Moscow: Conveying Traditions of Russian Mathematical School (2015) (0)
Evgenii Mikhailovich Landis (1998) (0)
D S ] 4 A pr 2 01 0 Cascades of ε-invisibility ∗ (2010) (0)
A PROOF OF KOLMOGOROV’S THEOREM Dedicated to Prof. Vishik on the occasion of his 80th birthday (2008) (0)
Normal forms and desingularization (2007) (0)
Homoclinic orbits of nonhyperbolic singular points (1998) (0)
Normal forms for unfoldings of saddlenodes (1998) (0)
All Russian mathematical portal (2019) (0)
Vladimir Antonovich Zorich (2018) (0)
Functional moduli of analytic classification of resonant germs and their applications (2007) (0)
PERSISTENCE THEOREMS FOR HOLOMORPHIC FOLIATIONS AND KUPKA-SMALE PROPERTY FOR POLYNOMIAL AUTOMORPHISMS OF ℂ2 (2005) (0)
First steps of the global bifurcation theory in the plane (2019) (0)
Variation of argument and Bernstein index for holomorphic functions on Riemann surfaces (2006) (0)
Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle (2014) (0)
Leonid Pavlovich Shil'nikov (obituary) (2012) (0)
Homoclinic tori and Klein bottles of nonhyperbolic periodic orbits: Noncritical case (1998) (0)
Bifurcations in the plane (1998) (0)
An estimate of the number of zeros of abelian integrals for a wide class of hamiltonians of arbitrary degree (2001) (0)
Singular points of planar analytic vector fields (2007) (0)
Elements of hyperbolic theory (1998) (0)
Homoclinic torus of a nonhyperbolic periodic orbit: Semicritical case (1998) (0)
Bifurcations of homoclinic trajectories of hyperbolic saddles (1998) (0)
Normal forms for local families: Hyperbolic case (1998) (0)
Global properties of complex polynomial foliations (2007) (0)
The Independent University of Moscow and Student Sessions at the IUM (2005) (0)
Georgy Maksimovich Adelson-Velsky (obituary) (2014) (0)
Vladimir Mikhailovich Tikhomirov (on his 70th birthday) (2006) (0)
Around Hilbert Sixteenth Problem (2008) (0)
Hamiltonian bifurcations and local analytic classification (2004) (0)
Local and global theory of linear systems (2007) (0)
Serge G. Vlăduţ (2004) (0)
Attractors and limit cycles (2010) (0)
Relaxation fast-linear oscillations (RFLO) (1991) (0)
Ju n 20 09 Cascades and ε-invisibility ∗ (2009) (0)
Memories of Vladimir Arnold (2012) (0)
Book Review: The monodromy group (2007) (0)
Yulij Ilyashenko Interview July 4, 1997 (1997) (0)
EndCap Module Production for the ATLAS Silicon Tracker (SCT) at CERN and the University of Geneva (2006) (0)

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What Schools Are Affiliated With Yulij Ilyashenko?

Yulij Ilyashenko is affiliated with the following schools:

Yulij Ilyashenko's Academic­Influence.com Rankings