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Related Experiment Videos

Synchronization of oscillators through time-shifted common inputs.

Ehsan Bolhasani1,2, Yousef Azizi1, Alireza Valizadeh1,2

  • 1Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran.

Physical Review. E
|April 19, 2017
PubMed
Summary

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Time shifts in common inputs to coupled oscillators do not just shift phase differences but alter their distribution. Optimal synchronization occurs at an intermediate time shift due to a resonance effect.

Area of Science:

  • Physics
  • Dynamical Systems
  • Nonlinear Dynamics

Background:

  • Shared upstream processes create common inputs in physical and biological systems.
  • Finite signal speeds and distances cause unavoidable time shifts in these common inputs.
  • Common inputs can induce correlations in multi-unit dynamical systems, impacting synchronization.

Purpose of the Study:

  • Investigate the effect of time-shifted common inputs on the synchronization of coupled limit-cycle oscillators.
  • Understand how time shifts alter the distribution of phase differences, not just shift them.
  • Identify conditions for optimal synchronization in the presence of time-shifted inputs.

Main Methods:

  • Utilized a canonical model of coupled limit-cycle oscillators.

Related Experiment Videos

  • Drove the oscillators with stochastic, time-shifted common inputs.
  • Analyzed the resulting distributions of phase differences.

    • Main Results:

    • Observed that time shifts in common inputs modify the phase difference distribution, not merely shift it.
    • Discovered that synchronization is maximized at a specific intermediate time shift value.
    • Identified a resonance-like effect between the time shift and the deterministic dynamics.

    Conclusions:

    • Time-shifted common inputs introduce complex dynamics in coupled oscillator synchronization.
    • Optimal synchronization depends on a precise interplay between input timing and system dynamics.
    • The findings offer insights into synchronization phenomena in various coupled systems with delayed common inputs.