On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle

Qualitative theory of differential equations

Journal of the Franklin Institute · 1961 · 725 citations

Natural Sciences, Mathematics, Physics +14

HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

Jibin Li · International Journal of Bifurcation and Chaos · 2003 · 533 citations

Natural Sciences, Mathematics, Dynamical Systems +15

On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields

Robert Roussarie · Bulletin of the Brazilian Mathematical Society New Series · 1986 · 244 citations

Natural Sciences, Mathematics, Dynamical Systems +12

A Chebyshev criterion for Abelian integrals

Maite Grau, Francesc Mañosas, Jordi Villadelprat · Transactions of the American Mathematical Society · 2010 · 173 citations · Full text

Natural Sciences, Mathematics, Number Theory +6

Perturbation from an elliptic Hamiltonian of degree four—IV figure eight-loop

Freddy Dumortier, Chengzhi Li · Journal of Differential Equations · 2003 · 121 citations

Natural Sciences, Mathematics, Physics +12