A1 Journal article (refereed)
Chimera states in a class of hidden oscillatory networks (2021)


Asir, M. P., 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


JYU authors or editors


Publication details

All authors or editorsAsir, M. Paul; Prasad, Awadhesh; Kuznetsov, N. V.; Shrimali, Manish Dev

Journal or seriesNonlinear Dynamics

ISSN0924-090X

eISSN1573-269X

Publication year2021

Volume104

Issue number2

Pages range1645-1655

PublisherSpringer

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1007/s11071-021-06355-w

Publication open accessNot open

Publication channel open accessChannel is not openly available


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.


Keywordsdynamical systemschaos theoryoscillations

Free keywordschimera states; hidden oscillation; non-local coupling


Contributing organizations


Ministry reportingYes

Reporting Year2021

JUFO rating2


Last updated on 2024-26-03 at 09:19