We resolve the centre-focus problem for a specific class of cubic systems and determine the number of limit cycles which can bifurcate from a fine focus. We also describe the methods which we have developed to investigate these questions in general. These involve extensive use of Computer Algebra; we have chosen to use REDUCE.
@article{urn:eudml:doc:41280, title = {Five limit cycles for a simple cubic system.}, journal = {Publicacions Matem\`atiques}, volume = {41}, year = {1997}, pages = {199-208}, mrnumber = {MR1461651}, zbl = {0885.34029}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41280} }
Lloyd, Noel G.; Pearson, Jane M. Five limit cycles for a simple cubic system.. Publicacions Matemàtiques, Tome 41 (1997) pp. 199-208. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41280/