Iliya D. Iliev

Statistics

Publications

Citations

552

H-Index

Active since

1993

Affiliations

Institute of Mathematics and Informatics(Current)

Bulgarian Academy of Sciences

Université Toulouse III - Paul Sabatier

Centre National de la Recherche Scientifique

Sofia University "St. Kliment Ohridski"

Iliya D. Iliev is an author at Institute of Mathematics and Informatics specializing in stability, spectral theory, and discrete differential geometry.

Top concepts

StabilityPhysicsGeometrySpectral TheoryApproximation TheoryDiscrete Differential Geometry

Publications per year

1993–2020

Publications

Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians

Emil Horozov, Iliya D. Iliev · Nonlinearity · 1998 · 96 citations

Linear Estimate, Approximation Theory, Basic Integrals +7

The Cyclicity of the Period Annulus of the Quadratic Hamiltonian Triangle

Iliya D. Iliev · Journal of Differential Equations · 1996 · 58 citations

Period Annulus, Quadratic Hamiltonian Triangle, Hamiltonian System

Quadratic perturbations of quadratic codimension-four centers

Lubomir Gavrilov, Iliya D. Iliev · Journal of Mathematical Analysis and Applications · 2009 · 54 citations · Full text

Real Algebraic Geometry, Geometric Singular Perturbation Theory, Perturbation Method +1

The number of limit cycles due to polynomial perturbations of the harmonic oscillator

Iliya D. Iliev · Mathematical Proceedings of the Cambridge Philosophical Society · 1999 · 50 citations

Limit Cycles, Arbitrary Polynomial Perturbationsformula, Perturbation Method +7

The displacement map associated to polynomial unfoldings of planar Hamiltonian vector fields

Lubomir Gavrilov, Iliya D. Iliev · American Journal of Mathematics · 2005 · 49 citations

Hamiltonian Theory, Hamiltonian Vector Fields, Riemann-hilbert Problem +10

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