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Sarika, JALAN
복잡계 이론물리 연구단
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Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks

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Title
Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks
Author(s)
Anil Kumar; Sarika Jalan
Publication Date
2021-04
Journal
Chaos, v.31, no.4
Publisher
American Institute of Physics Inc.
Abstract
© 2021 Author(s).Different methods have been proposed in the past few years to incite explosive synchronization (ES) in Kuramoto phase oscillators. In this work, we show that the introduction of a phase shift α in interlayer coupling terms of a two-layer multiplex network of Kuramoto oscillators can also instigate ES in the layers. As α → π / 2, ES emerges along with hysteresis. The width of hysteresis depends on the phase shift α, interlayer coupling strength, and natural frequency mismatch between mirror nodes. A mean-field analysis is performed to justify the numerical results. Similar to earlier works, the suppression of synchronization is accountable for the occurrence of ES. The robustness of ES against changes in network topology and natural frequency distribution is tested. Finally, taking a suggestion from the synchronized state of the multiplex networks, we extend the results to classical single networks where some specific links are assigned phase-shifted interactions.
URI
https://pr.ibs.re.kr/handle/8788114/9904
DOI
10.1063/5.0043775
ISSN
1054-1500
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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