Abstract
Let be an open, relatively compact period annulus of real analytic vector field on an analytic surface. We prove that the maximal number of limit cycles which bifurcate from under a given multiparameter analytic deformation of is finite provided that is either a Hamiltonian or generic Darbouxian vector field
Citation
Lubomir Gavrilov. Dmitry Novikov. "On the finite cyclicity of open period annuli." Duke Math. J. 152 (1) 1 - 26, 15 March 2010. https://doi.org/10.1215/00127094-2010-005
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