PDE seminar, March 25th 2015
Wednesday 25th EHESS, Avenue de France, room 466, 4th floor
10h30 : Björn Sandstede (Brown University, USA)
Travelling pulses in the FitzHugh–Nagumo system
The FitzHugh-Nagumo system is a set of differential equations that serves as a simplification of the Hodgkin-Huxley equations for the propagation of action potentials in nerve axons. Both the continuous and the discrete version of the FitzHugh-Nagumo system exhibit stable travelling pulses: their analysis is facilitated by the separation of time scales inherent in this model. I will review some of the existing results on the existence and stability of localized travelling waves in this system and discuss recent results on the existence of pulses with oscillatory tails. This is joint work with Paul Carter.
The FitzHugh-Nagumo system is a set of differential equations that serves as a simplification of the Hodgkin-Huxley equations for the propagation of action potentials in nerve axons. Both the continuous and the discrete version of the FitzHugh-Nagumo system exhibit stable travelling pulses: their analysis is facilitated by the separation of time scales inherent in this model. I will review some of the existing results on the existence and stability of localized travelling waves in this system and discuss recent results on the existence of pulses with oscillatory tails. This is joint work with Paul Carter.
Poster here