Complex partial synchronization patterns in networks of delay-coupled neurons

Denis Nikitin, I. Omelchenko, A. Zakharova, M. Avetyan, A. L. Fradkov, E. Schöll

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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.

Original languageEnglish
Article number2018128
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume377
Issue number2153
DOIs
StatePublished - 9 Sep 2019

Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Keywords

  • Chimera states
  • Delay coupling
  • Multiplex networks
  • Neural networks

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