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  • Letter
  • Open Access

Heterogeneity-induced synchronization in delay-coupled electronic oscillators

Nirmal Punetha1,2,* and Lucas Wetzel1,3

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany
  • 2Amity University Haryana, Gurugram (Manesar), 122413 Haryana, India
  • 3Center for Advancing Electronics (CFAED), Würzburger Straße 46, 01187 Dresden, Germany

  • *punethanirmal@gmail.com
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Phys. Rev. E 106, L052201 – Published 30 November, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L052201

Abstract

We study synchronization in networks of delay-coupled electronic oscillators, so-called phase-locked loops (PLLs). Using a phase-model description, we study the collective dynamics of mutually coupled PLLs and report the phenomenon of heterogeneity-induced synchronization. This phenomenon refers to the observation that heterogeneity in the system's parameters can induce synchronization by stabilizing the states which are unstable without such heterogeneity. In systems where component heterogeneity can be tuned and controlled, we show how the complex collective self-organized dynamics can be guided towards synchronized states with specific operational frequencies and phase relations. This is of importance for the technical applicability of self-organized dynamics. In electrical engineering, for example, where components can be strongly heterogeneous, our theoretical framework can inform the design process for networks of spatially distributed PLLs. The results presented here are also useful in understanding the collective dynamics in ensembles of phase oscillators with time-delayed interactions, inertia, and heterogeneity.

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See Also

How clock heterogeneity affects synchronization and can enhance stability

Nirmal Punetha and Lucas Wetzel
Phys. Rev. E 106, 054216 (2022)

Article Text

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Outline

Information

Phys. Rev. E 106, L052201– Published 30 November, 2022
  • Received 19 July 2022
  • Accepted 4 October 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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