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Complex partial synchronization patterns in networks of delay-coupled neurons

Nikitin, D.; Omelchenko, Iryna; Zakharova, Anna; Avetyan, M.; Fradkov, Alexander L.; Schöll, Eckehard

We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer.
Published in: Philosophical Transactions of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences, 10.1098/rsta.2018.0128, Royal Society