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  3. Frequency Synchronization Induced By Frequency Detuning.
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  3. Frequency Synchronization Induced By Frequency Detuning.

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Frequency synchronization induced by frequency detuning.

Jorge Luis Ocampo-Espindola1,2,3, Christian Bick4,5,6,7, Adilson E Motter2,3,8,9

  • 1Department of Chemistry, Saint Louis University, St. Louis, MO 63103, USA.

Science Advances
|June 11, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

Identical systems usually behave similarly, but network interactions can cause unexpected behavior. Introducing frequency differences in oscillators can surprisingly lead to robust frequency synchronization, a counterintuitive finding for network dynamics.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Identical systems are expected to behave similarly under identical conditions.
  • Network interactions can lead to symmetry breaking and unexpected system behaviors.
  • Chimera states in multistable phase-oscillator networks exemplify such counterintuitive dynamics.

Purpose of the Study:

  • To investigate the conversion of asynchronous states into frequency-synchronized states in phase-oscillator networks.
  • To explore the effect of detuning intrinsic frequencies of identical oscillators.
  • To demonstrate a robust method for promoting synchronization in complex networks.

Main Methods:

  • Theoretical analysis of phase-oscillator networks.
  • Numerical simulations of network dynamics.
  • Experimental validation using electrochemical oscillators.

    • Main Results:

    • Asynchronous states can be transformed into frequency-synchronized states by detuning oscillator frequencies.
    • Frequency synchronization occurs over a range of intrinsic frequency detuning, indicating robustness.
    • Parameter heterogeneity, specifically frequency detuning, can be leveraged to enhance synchronization.

    Conclusions:

    • The study reveals a counterintuitive principle: parameter heterogeneity can promote synchronization in networks.
    • Frequency synchronization is a robust phenomenon achievable through controlled detuning.
    • Findings offer novel strategies for controlling synchronization in various complex systems.