Concepedia

Lubomir Gavrilov

LG

Statistics

Publications

15

Citations

604

H-Index

14

Active since

1991

Affiliations

Université Toulouse III - Paul Sabatier(Current)

Centre National de la Recherche Scientifique

Institute of Mathematics and Informatics

Bulgarian Academy of Sciences

Institut de Mathématiques de Toulouse

Lubomir Gavrilov is an author at Université Toulouse III - Paul Sabatier specializing in integral geometry, geometry, and stability.

Top concepts

GeometryStabilityIntegral GeometryPhysicsSpectral TheoryFunctional AnalysisQuantum Field TheoryDiscrete Differential Geometry

Publications per year

1991–2019

15

Publications

15

The infinitesimal 16th Hilbert problem in the quadratic case

Lubomir Gavrilov · Inventiones mathematicae · 2001 · 121 citations

Hilbert Problem, Quadratic Programming, Variational Analysis +1

Separability and Lax pairs for Hénon–Heiles system

V. Ravoson, Lubomir Gavrilov, R. Caboz · Journal of Mathematical Physics · 1993 · 69 citations

Hamiltonian Theory, Fairbanks Theorem, Weak Interaction +6

The period function of a Hamiltonian quadratic system

W. A. Coppel, Lubomir Gavrilov · Differential and Integral Equations · 1993 · 57 citations · Full text

Hamiltonian Theory, Hamiltonian Quadratic System, Associated Periodic Orbits +4

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

Isochronicity of plane polynomial Hamiltonian systems

Lubomir Gavrilov · Nonlinearity · 1997 · 49 citations

Hamiltonian Theory, Schubert Calculus, Zero Homology Cycle +7

1–5 of 15