Standard

Chimera states in a class of hidden oscillatory networks. / Paul Asir, M.; Prasad, Awadhesh; Kuznetsov, N. V.; Shrimali, Manish Dev.

в: Nonlinear Dynamics, Том 104, № 2, 28.03.2021, стр. 1645-1655.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Paul Asir, M, Prasad, A, Kuznetsov, NV & Shrimali, MD 2021, 'Chimera states in a class of hidden oscillatory networks', Nonlinear Dynamics, Том. 104, № 2, стр. 1645-1655. https://doi.org/10.1007/s11071-021-06355-w

APA

Paul Asir, M., Prasad, A., Kuznetsov, N. V., & Shrimali, M. D. (2021). Chimera states in a class of hidden oscillatory networks. Nonlinear Dynamics, 104(2), 1645-1655. https://doi.org/10.1007/s11071-021-06355-w

Vancouver

Paul Asir M, Prasad A, Kuznetsov NV, Shrimali MD. Chimera states in a class of hidden oscillatory networks. Nonlinear Dynamics. 2021 Март 28;104(2):1645-1655. https://doi.org/10.1007/s11071-021-06355-w

Author

Paul Asir, M. ; Prasad, Awadhesh ; Kuznetsov, N. V. ; Shrimali, Manish Dev. / Chimera states in a class of hidden oscillatory networks. в: Nonlinear Dynamics. 2021 ; Том 104, № 2. стр. 1645-1655.

BibTeX

@article{d4e4767f63fe4d0aa73b34f8408d9db4,
title = "Chimera states in a class of hidden oscillatory networks",
abstract = "We have identified the chimera states in a class of non-locally coupled network of hidden oscillators without equilibrium, with one and two stable equilibria. All these cases exhibit hidden chaotic oscillations when isolated. We show that the choice of initial conditions is crucial to observe chimeras in these hidden oscillatory networks. The observed states are quantified and delineated with an aid of the incoherence measure. In addition, we computed the basin stability of the obtained chimeras and found that the models without equilibrium and with one equilibrium are diverging to infinity past certain interaction strength. Interestingly, for a no equilibrium model the separation of two incongruous units follows a power law as a function of coupling strength. Remarkably, we detected that the model with one stable equilibrium manifests multi-clustered chimera states owing to its multi-stability.",
keywords = "Chimera states, Hidden oscillation, Non-local coupling",
author = "{Paul Asir}, M. and Awadhesh Prasad and Kuznetsov, {N. V.} and Shrimali, {Manish Dev}",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = mar,
day = "28",
doi = "10.1007/s11071-021-06355-w",
language = "English",
volume = "104",
pages = "1645--1655",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Chimera states in a class of hidden oscillatory networks

AU - Paul Asir, M.

AU - Prasad, Awadhesh

AU - Kuznetsov, N. V.

AU - Shrimali, Manish Dev

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3/28

Y1 - 2021/3/28

N2 - We have identified the chimera states in a class of non-locally coupled network of hidden oscillators without equilibrium, with one and two stable equilibria. All these cases exhibit hidden chaotic oscillations when isolated. We show that the choice of initial conditions is crucial to observe chimeras in these hidden oscillatory networks. The observed states are quantified and delineated with an aid of the incoherence measure. In addition, we computed the basin stability of the obtained chimeras and found that the models without equilibrium and with one equilibrium are diverging to infinity past certain interaction strength. Interestingly, for a no equilibrium model the separation of two incongruous units follows a power law as a function of coupling strength. Remarkably, we detected that the model with one stable equilibrium manifests multi-clustered chimera states owing to its multi-stability.

AB - We have identified the chimera states in a class of non-locally coupled network of hidden oscillators without equilibrium, with one and two stable equilibria. All these cases exhibit hidden chaotic oscillations when isolated. We show that the choice of initial conditions is crucial to observe chimeras in these hidden oscillatory networks. The observed states are quantified and delineated with an aid of the incoherence measure. In addition, we computed the basin stability of the obtained chimeras and found that the models without equilibrium and with one equilibrium are diverging to infinity past certain interaction strength. Interestingly, for a no equilibrium model the separation of two incongruous units follows a power law as a function of coupling strength. Remarkably, we detected that the model with one stable equilibrium manifests multi-clustered chimera states owing to its multi-stability.

KW - Chimera states

KW - Hidden oscillation

KW - Non-local coupling

UR - http://www.scopus.com/inward/record.url?scp=85103419326&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/08068d20-488e-372a-9828-0944429bd546/

U2 - 10.1007/s11071-021-06355-w

DO - 10.1007/s11071-021-06355-w

M3 - Article

AN - SCOPUS:85103419326

VL - 104

SP - 1645

EP - 1655

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 2

ER -

ID: 78768507