Yu. Ilyashenko - Concepedia

Author

Yu. Ilyashenko

Also Known As

Ilyashenko, Yu. S., Ilyashenko, Yulij, Ilyashenko, Yulij S., Ilʹjašenko, Julij S. 1943-, Victor Prasolov, Y Ilyashenko, Y. ILYASHENKO, Y. Ilyashenko, YU. ILYASHENKO, Yu Ilyashenko

179

Publications

2.7K

Citations

H-Index

Concepts

All Affiliations

Cornell University Steklov Mathematical Institute Lomonosov Moscow State University Independent University of Moscow National Research University Higher School of Economics

About

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

Top Concepts

#	Concept	H-Index	Publications	Citations
1	Engineering	6	6	179
2	Physics	4	4	125
3	Applied Physics	1	1	30
4	Computer Science	1	1	38
5	Electrical Engineering	1	1	30

Yu. Ilyashenko

Publications

1.5K

Citations

H-Index

Page 1

	Year	Citations
Centennial History of Hilbert's 16th Problem Yu. Ilyashenko Bulletin of the American Mathematical Society Geometric Partial Differential EquationRiemann-hilbert ProblemGeometryReal Algebraic GeometryCentennial History	2002	436
Finiteness theorems for limit cycles Yu. Ilyashenko Russian Mathematical Surveys Contents IntroductionTopological DynamicAnalytic Number TheoryFiniteness TheoremsMonodromy Transformations	1990	199
Finitely-smooth normal forms of local families of diffeomorphisms and vector fields Yu. Ilyashenko, Sergeî Yakovenko Russian Mathematical Surveys Spectral TheoryContents IntroductionHyperbolic Local FamiliesFinitely-smooth Normal FormsGlobal Analysis	1991	140
Some unsolved problems in the theory of differential equations and mathematical physics Vladimir I. Arnold, M. I. Vishik, Yu. Ilyashenko, Russian Mathematical Surveys Unsolved ProblemsGeometric Partial Differential EquationPhysicsClassical SystemNonlinear Equation	1989	62
Limit cycles of polynomial vector fields with nondegenerate singular points on the real plane Yu. Ilyashenko Functional Analysis and Its Applications Limit CyclesPolynomial Vector FieldsReal PlaneReal Algebraic Geometry	1985	58
Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions Yu. Ilyashenko Nonlinearity Limit CyclesRiemann-hilbert ProblemUpper EstimateHilbert-type NumbersGrowth Rate	2000	55
Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations Yu. Ilyashenko Russian Mathematical Surveys Deterministic Dynamical SystemGeometryReal Algebraic GeometryContentsintroductionchapter I. DulacSmooth Orbital Classification	1985	51
Nonremovable zero Lyapunov exponent Anton Gorodetski, Yu. Ilyashenko, Victor Kleptsyn, Functional Analysis and Its Applications EngineeringLyapunov AnalysisEntropyDiscrete Dynamical SystemLyapunov Exponent	2005	41
Certain new robust properties of invariant sets and attractors of dynamical systems Anton Gorodetski, Yu. Ilyashenko Functional Analysis and Its Applications Invariant SetsDeterministic Dynamical SystemEngineeringDiscrete Dynamical SystemMechanical Systems	1999	39
MINIMAL AND STRANGE ATTRACTORS Anton Gorodetski, Yu. Ilyashenko International Journal of Bifurcation and Chaos Strange Minimal AttractorDeterministic Dynamical SystemEngineeringGeneral ConceptChaos Theory	1996	38

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