Complex partial synchronization patterns in networks of delay-coupled neurons | Zendy

Denis Nikitin | Zendy; Iryna Omelchenko | Zendy; Anna Zakharova | Zendy; Manuk Avetyan | Zendy; Аlexander L. Fradkov | Zendy; Eckehard Schöll | Zendy

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Complex partial synchronization patterns in networks of delay-coupled neurons

Author(s) -

Denis Nikitin,

Iryna Omelchenko,

Anna Zakharova,

Manuk Avetyan,

Аlexander L. Fradkov,

Eckehard Schöll

Publication year - 2019

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2018.0128

Subject(s) - synchronization (alternating current) , computer science , nonlinear system , topology (electrical circuits) , fractal , statistical physics , control theory (sociology) , physics , mathematics , control (management) , telecommunications , artificial intelligence , mathematical analysis , channel (broadcasting) , combinatorics , quantum mechanics

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. This article is part of the theme issue 'Nonlinear dynamics of delay systems'.

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