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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 38.5: Vortrag

Mittwoch, 18. März 2020, 17:00–17:15, GÖR 226

Solitary States in Neural Networks — •Leonhard Schülen and Anna Zakharova — Institut für theoretische Physik, Technische Universität Berlin, Deutschland

Understanding mechanisms of desynchronization plays a significant role in the study of neural networks. Dynamical scenario of transition from pathological neural synchrony to a healthy state can involve partial synchronization patterns, such as chimera states or solitary states. The term "solitary" comes from the Latin "solitarius" and can be understood as "alone", "lonely", or "isolated". In the case of chimera states, a network spontaneously splits into coexisting domains of synchronized and desynchronized behavior, which are localized in space. For solitary states, on the contrary, it is typical that individual "solitary" oscillators split off from the synchronized cluster at random positions in space. Here we discuss the formation of solitary states and, in particular, the conditions under which these patterns occur in one-layer and two-layer networks of oscillatory FitzHugh-Nagumo neurons. Furthermore, we present a technique that allows to engineer solitary states. By delaying links of selected nodes we are able to control their position and displacement with respect to the synchronized cluster.