Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 51: Networks: From Topology to Dynamics (joint session DY/SOE)
DY 51.5: Talk
Wednesday, March 14, 2018, 16:30–16:45, MA 001
Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology — •Maria Masoliver1, Nishant Malik2, Eckehard Schöll3, and Anna Zakharova3 — 1Department of Physics, DONLL, Universitat Politècnica de Catalunya — 2Department of Mathematics, Dartmouth College, Hanover, USA — 3Institut für Theoretische Physik, Technische Universität, Berlin
The FitzHugh-Nagumo system is a paradigmatic model which describes the excitability and spiking behavior of neurons. This model, in the excitable regime under the influence of noise exhibits the counterintuitive phenomenon of coherence resonance: there exists an optimum intermediate value of the noise intensity for which noise-induced oscillations become most regular. We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime [1]. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and network topology in the generation of coherence resonance. We demonstrate the possibility of controlling coherence resonance by varying the time-delay and the number of nearest neighbors. For a locally coupled ring, we show that the time-delay weakens coherence resonance. For nonlocal coupling with appropriate time-delays, both enhancement and weakening of coherence resonance are possible.
[1] M. Masoliver, N. Malik, E. Schöll, A. Zakharova, Chaos 27, 101102 (2017)