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External noise synchronizes forced oscillators.

K Pakdaman1, D Mestivier

  • 1Inserm U444, Faculté de Médecine Saint-Antoine, 27, rue Chaligny, 75571 Paris Cedex 12, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
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External noise can synchronize oscillations in forced nonlinear systems. This synchronization occurs even when noise or periodic forcing alone does not induce it.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Nonlinear oscillators exhibit diverse responses like phase-locking, quasiperiodicity, and chaos under periodic forcing.
  • External perturbations significantly influence the dynamics of nonlinear systems.

Purpose of the Study:

  • To investigate the effect of external noise on ensembles of periodically forced nonlinear oscillators.
  • To determine if noise can induce synchronization in systems where periodic forcing alone does not.

Main Methods:

  • Applying periodic pulsatile perturbation to nonlinear oscillators.
  • Introducing external noise to ensembles of these forced systems.
  • Analyzing the resulting synchronization phenomena.

Related Experiment Videos

Main Results:

  • External noise, when applied to ensembles of forced nonlinear oscillators, can induce synchronization.
  • Synchronization was observed even in parameter regimes where neither periodic forcing nor noise alone caused synchronization.
  • This indicates a synergistic effect between periodic forcing and noise in achieving order.

Conclusions:

  • External noise is a potent factor in synchronizing nonlinear oscillator ensembles.
  • Noise can rescue or enhance order in systems driven by periodic forces, revealing complex interactions.
  • Findings have implications for understanding synchronization in various complex systems, from physics to biology.