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Noise-induced synchronization in realistic models.

Daihai He1, Pengliang Shi, Lewi Stone

  • 1Biomathematics Unit, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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Two noncoupled systems can synchronize using common Gaussian noise. This study numerically investigates noise-induced synchronization in the Pikovsky-Rabinovich circuit and Hindmarsh-Rose neuron models.

Area of Science:

  • Nonlinear dynamics
  • Computational neuroscience

Background:

  • Noise can influence the behavior of dynamical systems.
  • Synchronization is a key phenomenon in coupled systems.

Purpose of the Study:

  • To investigate noise-induced synchronization in two realistic models.
  • To identify conditions for synchronizing noncoupled systems with common noise.

Main Methods:

  • Numerical simulations were performed.
  • The Pikovsky-Rabinovich circuit model was used.
  • The Hindmarsh-Rose neuron model was employed.

Main Results:

  • Noise-induced synchronization was observed.
  • A single-variable-Jacobian matrix feature was identified in both models.

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  • Conditions for synchronization of noncoupled systems were determined.

    • Conclusions:

    • Common Gaussian noise can synchronize noncoupled identical systems.
    • The identified models exhibit properties conducive to noise-induced synchronization.