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Related Experiment Videos

Triggering synchronized oscillations through arbitrarily weak diversity in close-to-threshold excitable media.

C Degli Esposti Boschi1, E Louis, G Ortega

  • 1Departamento de Física Aplicada and Unidad Asociada of the Consejo Superior de Investigaciones Científicas, Universidad de Alicante, Apartado 99, E-03080 Alicante, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
PubMed
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Weak heterogeneity can cause synchronized oscillations in excitable media. This finding holds true even with internal dynamical noise, demonstrating robustness in coupled oscillator networks.

Area of Science:

  • * Complex systems dynamics
  • * Nonlinear physics
  • * Network science

Background:

  • * Excitable media exhibit complex behaviors, including oscillations.
  • * Heterogeneity can significantly alter the dynamics of such media.
  • * Understanding synchronization phenomena is crucial in various scientific fields.

Purpose of the Study:

  • * To investigate the effect of weak heterogeneity on synchronized oscillations in excitable media.
  • * To determine the robustness of induced synchronization against internal noise.
  • * To analyze synchronization in networks of coupled van der Pol-FitzHugh-Nagumo oscillators.

Main Methods:

  • * Modeling excitable media using coupled van der Pol-FitzHugh-Nagumo oscillators.
  • * Introducing weak, frozen heterogeneity into the network structure.

Related Experiment Videos

  • * Analyzing system behavior near the oscillation threshold and in the presence of dynamical noise.

    • Main Results:

    • * Arbitrarily weak heterogeneity can induce global synchronized oscillations.
    • * Synchronization occurs in systems close to the oscillation threshold.
    • * The observed synchronization is robust against internal dynamical noise.

    Conclusions:

    • * Weak heterogeneity is a sufficient condition to induce global synchronization in these systems.
    • * The phenomenon is stable and not easily disrupted by noise.
    • * This highlights a fundamental mechanism for emergent order in complex networks.