Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Nonlinear Dynamics, Synchronization and Chaos

DY 31.8: Talk

Wednesday, April 3, 2019, 12:00–12:15, H20

Bifurcation scenarios in ensembles of two-dimensional excitatory units with global repulsive coupling — •Robert Ronge and Michael Zaks — Humboldt-Universität zu Berlin

We study systems of identical two-dimensional models of neurons with repulsive all-to-all coupling, focusing on the active rotator model with adaptation and the Morris-Lecar model. Parameters are chosen such that for the decoupled case each neuron is at rest, close to the border of class I excitability. Under the action of sufficiently strong repulsion, the collective equilibrium loses stability and is replaced by different form of oscillations. Two main type are oscillations in clusters and the state in which the neurons spike one-by-one in turn. We investigate transitions between these two regimes.