Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Nonlinear Dynamics, Synchronization, Chaos I
DY 15.1: Vortrag
Montag, 12. März 2018, 15:30–15:45, BH-N 128
Ubiquity of macroscopic chaos in balanced networks of spiking neurons — •Alessandro Torcini1, Ekkehard Ullner2, and Antonio Politi2 — 1Laboratoire de Physique Théorique et Modélisation Université de Cergy-Pontoise - 2 avenue Adolphe Chauvin, Pontoise 95302 Cergy-Pontoise cedex, Île-de-France, France — 2Institute for Complex Systems and Mathematical Biology and Department of Physics (SUPA), Old Aberdeen, Aberdeen AB24 3UE, UK
We revisit the behavior of a prototypical model of balanced activity in networks of spiking neurons. A detailed study of an appropriate thermodynamic limit for fixed density of connections shows that, when inhibition prevails, the asymptotic regime is characterized by a self-sustained irregular, macroscopic (collective) dynamics rather than being asynchronous. This holds true even for very small coupling strengths. A relationship with the collective chaos observed in standard (unbalanced) heterogeneous networks is also put forward and the role played by clustered states discussed.