Thursday 01 Oct 2015: Dynamics seminar: Periodic solutions of a delayed Van der Pol oscillator
Gabor Kiss - Bolyai Institute, University of Szeged, Hungary
The Van der Pol oscillator has played an important role in modelling many real-world phenomena. For instance, its slightly modified version, the FitzHugh-Nagumo model describes the action potentials of neurons. We consider a delayed version of the Van der Pol oscillator, and report on the existence of periodic solutions which had been observed numerically some decades ago. Also, we describe our computational fixed-point theory, the method that we used to validate the existence of the period solutions in question.
Joint work with Jean-Philippe Lessard, Laval University, Canada.