×

Abelian integrals for quadratic vector fields. (English) Zbl 0621.58033

Using Picard-Fuchs techniques we analyse small perturbations of quadratic Hamiltonian vector fields. We obtain precise information about the number of limit cycles.

MSC:

37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
PDFBibTeX XMLCite
Full Text: Crelle EuDML