Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 65: Partial Synchronization Patterns in Neuronal Networks II (Focus Session joint with DY / SOE / BP) (joint session SOE/DY)

DY 65.3: Talk

Friday, March 20, 2020, 10:45–11:00, GÖR 226

High-order couplings in geometric complex networks of neurons — •Alejandro Tlaie^{1, 2, 3}, Inmaculada Leyva^{1, 2}, and Irene Sendiña-Nadal^{1, 2} — ¹Complex Systems Group & GISC, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain — ²Center for Biomedical Technology, Universidad Politécnica de Madrid, Madrid, Spain — ³Department of Applied Mathematics and Statistics, ETSIT Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain

We explore the consequences of introducing higher-order interactions in a geometric complex network of Morris-Lecar neurons. We focus on the regime where traveling synchronization waves are observed from a first-neighbors-based coupling to evaluate the changes induced when higher-order dynamical interactions are included. We observe that the traveling-wave phenomenon gets enhanced by these interactions, allowing the activity to travel further in the system without generating pathological full synchronization states. This scheme could be a step toward a simple phenomenological modelization of neuroglial networks.