In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.
@article{urn:eudml:doc:38739, title = {Polynomial systems: a lower bound for the weakened 16th Hilbert problem.}, journal = {Extracta Mathematicae}, volume = {16}, year = {2001}, pages = {441-447}, zbl = {1125.34317}, mrnumber = {MR1897762}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38739} }
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen. Polynomial systems: a lower bound for the weakened 16th Hilbert problem.. Extracta Mathematicae, Tome 16 (2001) pp. 441-447. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38739/