Heterogeneity-induced synchronization in delay-coupled electronic oscillators

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Nirmal Punetha - , Max-Planck-Institute for the Physics of Complex Systems, Amity University, Noida (Author)
  • Lucas Wetzel - , Max-Planck-Institute for the Physics of Complex Systems, TUD Dresden University of Technology (Author)

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.

Details

Original languageEnglish
Article numberL052201
JournalPhysical Review E
Volume106
Issue number5
Publication statusPublished - 15 Nov 2022
Peer-reviewedYes

External IDs

PubMed 36559447