Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 38: Partial Synchronization Patterns in Neuronal Networks I (Focus Session joint with DY / SOE / BP) (joint session SOE/DY)

DY 38.1: Invited Talk

Wednesday, March 18, 2020, 15:00–15:30, GÖR 226

Cross frequency coupling in next generation inhibitory neural mass models — •Simona Olmi¹, Andrea Ceni², David Angulo Garcia³, and Alessandro Torcini⁴ — ¹Inria Sophia Antipolis Mediterranee Research Centre, 2004 Route des Lucioles, 06902 Valbonne, France — ²Department of Computer Science, College of Engineering, Mathematics and Physical Sciences, University of Exeter, UK — ³Grupo de Modelado Computacional - Dinamica y Complejidad de Sistemas. Instituto de Matematicas Aplicadas, Universidad de Cartagena, Colombia — ⁴Laboratoire de Physique Theorique et Modelisation, Universite de Cergy-Pontoise, 95302 Cergy-Pontoise cedex, France

Coupling among neural rhythms is one of the most important mechanisms at the basis of cognitive processes in the brain. In this study we consider a neural mass model, rigorously obtained from the microscopic dynamics of an inhibitory spiking network with exponential synapses, able to autonomously generate collective oscillations. Furthermore, we show that two inhibitory populations in a master-slave configuration with different synaptic time scales can display various collective dynamical regimes: namely, damped oscillations towards a stable focus, periodic and quasi-periodic oscillations, and chaos. Finally, when bidirectionally coupled, the two inhibitory populations can exhibit different types of θ-γ cross-frequency couplings: namely, phase-phase and phase-amplitude cross-frequency couplings.