Limit Cycles Abelian Integrals Picard-Lefschetz Formula
Issue Date:
1996
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 22, No 2, (1996), 91p-108p
Abstract:
We prove that in quadratic perturbations of generic Hamiltonian
vector fields with two saddle points and one center there can appear at most two
limit cycles. This bound is exact.