Berlin 2015 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Delay and Feedback Dynamics
DY 42.2: Vortrag
Donnerstag, 19. März 2015, 10:00–10:15, BH-N 128
Dynamics of the self-coupled FitzHugh-Nagumo system in the limit of small delays — •Larissa Bauer1,2, Lionel Weicker3, Thomas Erneux3, and Philipp Hövel1,2 — 1Technische Universität Berlin — 2Bernstein Center for Computational Neuroscience Berlin — 3Université Libre de Bruxelles
We consider delay-induced oscillations in a paradigmatic model of neural dynamics, FitzHugh-Nagumo system, which is subject to Pyragas-type self-coupling. The uncoupled model is operated in the excitable regime close to a Hopf bifurcation, where the system exhibits a stable fixed point. We compare an analytical derivation of the period with numerical simulations. For large delays, the self-coupling sets the timescale of the oscillations. For small delays or small coupling strengths, however, an activation time has to be taken into account.