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DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Dynamics, Synchronization and Chaos

DY 10.3: Talk

Monday, March 18, 2024, 15:30–15:45, BH-N 128

A Sufficient Synchronization Criterion for Memristively Coupled FitzHugh-Nagumo Oscillators — •Jonas Röhrig¹, Robin Lautenbacher², Bakr Al Beattie¹, Karlheinz Ochs¹, and Ralf Köhl² — ¹Ruhr-University, Bochum, Germany — ²Christian-Albrechts-University, Kiel, Germany

Moving towards computational hardware that mimics efficient computation schemes from biological nervous systems, oscillator networks are an abstraction level of biological neuronal nets that is of great interest to study. A key question in that regard is to understand the occurrence of synchronization in oscillator networks whose topology adapts over time. We study electrical implementations of such networks, consisting of FitzHugh-Nagumo oscillators (FNOs) and memristive couplings between them. The latter implement growth and learning of the network. For such networks, we propose a sufficient synchronization criterion. This criterion is formulated in terms of the connectivity of the coupling graph and the maximal absolute negative differential resistance of the FNOs nonlinearity such that it is readily applicable for practitioners. Wave digital emulations of memristively coupled FNO networks demonstrate the application of the criterion.

Keywords: oscillator networks; synchronization; wave digital; FitzHugh-Nagumo