Concepedia

Yu. Ilyashenko

YI

30

Publications

1.5K

Citations

19

H-Index

1973

Active since

Affiliations

Cornell University(Current)

Steklov Mathematical Institute

Lomonosov Moscow State University

Independent University of Moscow

National Research University Higher School of Economics

Yu. Ilyashenko is an author at Cornell University specializing in engineering, physics, and entropy.

Top concepts

EngineeringEntropyPhysicsGeometryStabilityFunctional AnalysisProbabilityDynamic SystemsDiscrete GeometryIntegral Geometry

Publications per year

1973–2018

30

Publications

30

Centennial History of Hilbert's 16th Problem

Yu. Ilyashenko · Bulletin of the American Mathematical Society · 2002 · 436 citations · Full text

Geometric Partial Differential Equation, Riemann-hilbert Problem, Geometry +9

Finiteness theorems for limit cycles

Yu. Ilyashenko · Russian Mathematical Surveys · 1990 · 199 citations

Contents Introduction, Topological Dynamic, Analytic Number Theory +7

Finitely-smooth normal forms of local families of diffeomorphisms and vector fields

Yu. Ilyashenko, Sergeî Yakovenko · Russian Mathematical Surveys · 1991 · 140 citations

Spectral Theory, Contents Introduction, Hyperbolic Local Families +8

Some unsolved problems in the theory of differential equations and mathematical physics

Vladimir I. Arnold, M. I. Vishik, Yu. Ilyashenko et al. · Russian Mathematical Surveys · 1989 · 62 citations

Unsolved Problems, Geometric Partial Differential Equation, Physics +5

Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane

Yu. Ilyashenko · Functional Analysis and Its Applications · 1985 · 58 citations

Limit Cycles, Polynomial Vector Fields, Real Plane +1

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