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/