@article {IOPORT.05342901, author = {Qesmi, R. and Babram, M.Ait and Hbid, M.L.}, title = {Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity.}, year = {2006}, journal = {Applied Mathematics and Computation}, volume = {181}, number = {1}, issn = {0096-3003}, pages = {220-246}, publisher = {Elsevier Science Publishing Co. (North-Holland), New York}, doi = {10.1016/j.amc.2006.01.030}, abstract = {Summary: We present explicit formulas for computing the coefficients of a center manifolds for the Fold-Hopf singularity in autonomous retarded functional differential equations. As consequence, normal forms associated with the flow on a center manifold up to an arbitrary order are derived. The explicit formulas are implemented using the computer algebra system Maple. We apply our results to a delayed system in order to show the applicability of the methodology.}, identifier = {05342901}, }