The Existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles

Real algebraic geometry

Choice Reviews Online · 2014 · 1.3K citations

Spectral Theory, Algebraic Structure, Real Algebra.- 5 +7

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

Singularities of vector fields on the plane

Freddy Dumortier · Journal of Differential Equations · 1977 · 253 citations

Geometric Partial Differential Equation, Geometry, Global Analysis +2

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

Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations

Floris Takens · Journal of Differential Equations · 1973 · 134 citations

Global Analysis, Bifurcation Theory, Certain Singularities