Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleQuadratic perturbations of a quadratic reversible center of genus one.AuthorsPeng, LinpingAbstractIn this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincaré disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.SubjectsPERTURBATION theory; MATHEMATICAL physics; APPROXIMATION theory; FUNCTIONAL analysis; DYNAMICS; POINCARE conjecturePublicationFrontiers of Mathematics in China, 2011, Vol 6, Issue 5, p911ISSN1673-3452Publication typeArticleDOI10.1007/s11464-011-0155-4