Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations

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

Jibin Li · International Journal of Bifurcation and Chaos · 2003 · 524 citations

Spectral Theory, Engineering, Riemann-hilbert Problem +9

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 · 241 citations

Spectral Theory, Limit Cycles, Loop Space +3

Cyclicity of planar homoclinic loops and quadratic integrable systems

Maoan Han · Science in China Series A Mathematics · 1997 · 63 citations

Hamiltonian System, Quadratic Integrable Systems, Discrete Integrable System +1

Bifurcations of limit cycles in a Z6-equivariant planar vector field of degree 5

Jibin Li, H.S.Y. Chan, K.W. Chung · Science China Mathematics · 2002 · 60 citations

Limit Cycles, Complex Dynamic, Bifurcation Theory +1

On the number of limit cycles in double homoclinic bifurcations

Maoan Han, Jian Chen · Science in China Series A Mathematics · 2000 · 57 citations

Limit Cycles, Oscillation Theory, Geometric Singular Perturbation Theory +3