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arXiv · 2009.11639

Solitary states in multiplex neural networks: onset and vulnerability

Leonhard Schuelen·David A. Janzen·Everton S. Medeiros·Anna Zakharova
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Abstract

We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex network consisting of two non-identical layers. More specifically, we show that these patterns can be introduced via weak multiplexing into a network that is fully synchronized in isolation. We show that this result is robust under variations of the inter-layer coupling strength and largely independent of the choice of initial conditions. Moreover, we study the vulnerability of solitary states with respect to changes in the inter-layer topology. In more detail, we remove links that connect two solitary nodes of each layer and evaluate the resulting pattern. We find a highly non-trivial dependence of the survivability of the solitary states on topological (position in the network) and dynamical (phase of the oscillation) characteristics.

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Leonhard Schuelen, David A. Janzen, Everton S. Medeiros, Anna Zakharova. 2020-09-24. Solitary states in multiplex neural networks: onset and vulnerability. https://doi.org/10.1016/j.chaos.2021.110670

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