Drachman, B.; van Gils, S. A.; Zhang, Zhifun Abelian integrals for quadratic vector fields. (English) Zbl 0621.58033 J. Reine Angew. Math. 382, 165-180 (1987). Using Picard-Fuchs techniques we analyse small perturbations of quadratic Hamiltonian vector fields. We obtain precise information about the number of limit cycles. Cited in 10 Documents 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 Keywords:small perturbations; limit cycles PDFBibTeX XMLCite \textit{B. Drachman} et al., J. Reine Angew. Math. 382, 165--180 (1987; Zbl 0621.58033) Full Text: Crelle EuDML