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 editors: Asir, M. Paul; Prasad, Awadhesh; Kuznetsov, N. V.; Shrimali, Manish Dev
Journal or series: Nonlinear Dynamics
ISSN: 0924-090X
eISSN: 1573-269X
Publication year: 2021
Volume: 104
Issue number: 2
Pages range: 1645-1655
Publisher: Springer
Publication country: Netherlands
Publication language: English
DOI: https://doi.org/10.1007/s11071-021-06355-w
Publication open access: Not open
Publication channel open access: Channel 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.
Keywords: dynamical systems; chaos theory; oscillations
Free keywords: chimera states; hidden oscillation; non-local coupling
Contributing organizations
Ministry reporting: Yes
VIRTA submission year: 2021
JUFO rating: 2