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Complex partial synchronization patterns in networks of delay-coupled neurons. / Nikitin, Denis; Omelchenko, I.; Zakharova, A.; Avetyan, M.; Fradkov, A. L.; Schöll, E.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, No. 2153, 2018128, 09.09.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Nikitin, D, Omelchenko, I, Zakharova, A, Avetyan, M, Fradkov, AL & Schöll, E 2019, 'Complex partial synchronization patterns in networks of delay-coupled neurons', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 377, no. 2153, 2018128. https://doi.org/10.1098/rsta.2018.0128

APA

Nikitin, D., Omelchenko, I., Zakharova, A., Avetyan, M., Fradkov, A. L., & Schöll, E. (2019). Complex partial synchronization patterns in networks of delay-coupled neurons. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377(2153), [2018128]. https://doi.org/10.1098/rsta.2018.0128

Vancouver

Nikitin D, Omelchenko I, Zakharova A, Avetyan M, Fradkov AL, Schöll E. Complex partial synchronization patterns in networks of delay-coupled neurons. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019 Sep 9;377(2153). 2018128. https://doi.org/10.1098/rsta.2018.0128

Author

Nikitin, Denis ; Omelchenko, I. ; Zakharova, A. ; Avetyan, M. ; Fradkov, A. L. ; Schöll, E. / Complex partial synchronization patterns in networks of delay-coupled neurons. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019 ; Vol. 377, No. 2153.

BibTeX

@article{67318e1ab106428b812cdd52bbf9431b,
title = "Complex partial synchronization patterns in networks of delay-coupled neurons",
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.",
keywords = "Chimera states, Delay coupling, Multiplex networks, Neural networks",
author = "Denis Nikitin and I. Omelchenko and A. Zakharova and M. Avetyan and Fradkov, {A. L.} and E. Sch{\"o}ll",
note = "Publisher Copyright: {\textcopyright} 2019 The Author(s) Published by the Royal Society. All rights reserved. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = sep,
day = "9",
doi = "10.1098/rsta.2018.0128",
language = "English",
volume = "377",
journal = "Philosophical transactions. Series A, Mathematical, physical, and engineering sciences",
issn = "0962-8428",
publisher = "Royal Society of London",
number = "2153",

}

RIS

TY - JOUR

T1 - Complex partial synchronization patterns in networks of delay-coupled neurons

AU - Nikitin, Denis

AU - Omelchenko, I.

AU - Zakharova, A.

AU - Avetyan, M.

AU - Fradkov, A. L.

AU - Schöll, E.

N1 - Publisher Copyright: © 2019 The Author(s) Published by the Royal Society. All rights reserved. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/9/9

Y1 - 2019/9/9

N2 - 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.

AB - 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.

KW - Chimera states

KW - Delay coupling

KW - Multiplex networks

KW - Neural networks

UR - http://www.scopus.com/inward/record.url?scp=85069946274&partnerID=8YFLogxK

U2 - 10.1098/rsta.2018.0128

DO - 10.1098/rsta.2018.0128

M3 - Article

C2 - 31329071

AN - SCOPUS:85069946274

VL - 377

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

SN - 0962-8428

IS - 2153

M1 - 2018128

ER -

ID: 76026152