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Zero-lag long-range synchronization via dynamical relaying.

Ingo Fischer1, Raúl Vicente, Javier M Buldú

  • 1Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussel, Belgium.

Physical Review Letters
|October 10, 2006
PubMed
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Achieve zero-lag synchronization in coupled oscillators using a mediating element. This relaying mechanism enables robust synchronization over long distances, even with significant delays, demonstrated in lasers and neuronal models.

Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Network science

Background:

  • Coupled oscillators often exhibit synchronization, a phenomenon crucial in various natural and engineered systems.
  • Achieving zero-lag synchronization, where coupled elements oscillate in perfect phase, is challenging, especially with time delays in the coupling.
  • Existing methods for synchronization often struggle with long or variable delays.

Purpose of the Study:

  • To demonstrate a novel mechanism for achieving robust zero-lag synchronization between delay-coupled oscillators.
  • To investigate the role of a mediating element in establishing synchronization.
  • To validate the proposed mechanism across different physical systems and coupling architectures.

Main Methods:

  • Theoretical analysis of coupled dynamical systems.

Related Experiment Videos

  • Numerical simulations of semiconductor laser models and neuronal networks.
  • Experimental validation using a chain of three coupled semiconductor lasers with long inter-element coupling delays.
  • Main Results:

    • Isochronous (zero-lag) synchronization was achieved between two delay-coupled oscillators by introducing a third mediating element.
    • The mediating element was found to lag behind the outer synchronized elements, a counterintuitive but effective synchronization strategy.
    • The zero-lag synchronization was robust across a wide range of parameters and demonstrated in both semiconductor laser and neuronal models.

    Conclusions:

    • A novel relaying mechanism enables robust zero-lag synchronization in delay-coupled systems.
    • This method overcomes limitations imposed by long coupling delays, allowing synchronization over extended distances.
    • The findings have broad implications for understanding and engineering synchronized behavior in complex networks.