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Explosive synchronization in bipartite networks

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  • Thounaojam, Umeshkanta Singh

Abstract

The phenomenon of explosive synchronization where asynchronous oscillators abruptly undergo synchronization in complex networks is often considered to be an emergent effect due to correlations imposed on system parameters. However, such correlation constraints avoid flexibility, generality, and applicability. We consider classical Kuramoto oscillators on complete bipartite networks with frequency heterogeneity. We observe that the presence of two different timescales between oscillators in the two partitions gives rise to explosive synchronization, first-order phase transitions, and hysteresis. Macroscopic quantitative measures like order parameter and the average phase of oscillators are derived to describe the explosive synchronization. Further, the critical points for the first-order phase transitions are obtained analytically. Finally, the analytical estimates are compared with numerical results, and they are found to be in good agreement.

Suggested Citation

  • Thounaojam, Umeshkanta Singh, 2021. "Explosive synchronization in bipartite networks," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s096007792100789x
    DOI: 10.1016/j.chaos.2021.111435
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    References listed on IDEAS

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    1. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
    2. Serguei Saavedra & Felix Reed-Tsochas & Brian Uzzi, 2009. "A simple model of bipartite cooperation for ecological and organizational networks," Nature, Nature, vol. 457(7228), pages 463-466, January.
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    1. Thounaojam, Umeshkanta Singh & Manchanda, Kaustubh, 2023. "Continuous and explosive synchronization of phase oscillators on star network: Effect of degree-frequency correlations and time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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