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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
Summary
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.
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.
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