DYNAMICAL SYSTEMS Seminar

Thursday, June 16, 2011

Interaction of two systems with saddle-node bifurcation on invariant circle


Claude Baesens
(Warwick Mathematics Institute)

Abstract: The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit. It governs the transition from resting to periodic spiking in many class 1 neurons, for example. Here, the effect of weak coupling between two systems with a SNIC is analysed. The global bifurcation diagrams are obtained for the principal cases.

Thursday, June 16, 2011
Time: 15h00
Room: B2-01, Complexo Interdisciplinar, UL
http://cemapre.iseg.ulisboa.pt/seminars/dynsys/