We present a new method of analytic continuation of series out of their disk of convergence. We then exhibit a connection with the phenomenon of bifurcation delay in a planar discrete dynamical system; the limit of the method is then related to a stop phenomenon.
@article{urn:eudml:doc:41870, title = {Prolongement analytique et syst\`emes dynamiques discrets.}, journal = {Collectanea Mathematica}, volume = {43}, year = {1992}, pages = {71-82}, zbl = {0781.30005}, mrnumber = {MR1214225}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41870} }
Fruchard, Augustin. Prolongement analytique et systèmes dynamiques discrets.. Collectanea Mathematica, Tome 43 (1992) pp. 71-82. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41870/