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Coherence resonance versus synchronization in a periodically forced self-sustained system.

A G Balanov1, N B Janson, D E Postnov

  • 1Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2002
PubMed
Summary

Noise-induced coherence resonance (CR) emerges from the breakdown of phase synchronization in self-sustained systems. This phenomenon, observed in Van der Pol oscillators, demonstrates a resonant dependence of coherence on noise intensity.

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Area of Science:

  • Nonlinear Dynamics
  • Stochastic Processes
  • Complex Systems

Background:

  • Phase synchronization is a key phenomenon in coupled nonlinear oscillators.
  • External forcing and noise can disrupt or modify synchronization patterns.
  • Understanding the interplay between noise and synchronization is crucial for complex systems.

Purpose of the Study:

  • To investigate the fundamental relationship between coherence resonance (CR) and phase synchronization.
  • To analyze the effect of noise on synchronization in a self-sustained system.
  • To explore the occurrence of CR during the breakdown of synchronization.

Main Methods:

  • Utilized a Van der Pol oscillator model subjected to external forcing and noise.
  • Analyzed synchronization dynamics, including phase locking and suppression.

Related Experiment Videos

  • Investigated the dependence of system coherence on noise intensity.

    • Main Results:

    • Applied noise induces a new ordered motion upon breaking synchronization.
    • Coherence resonance (CR) occurs, with coherence peaking at a specific noise intensity.
    • CR is observed for both phase locking and suppression synchronization types.
    • The phenomenon is valid for any synchronization order (n:m).

    Conclusions:

    • A direct link exists between coherence resonance and phase synchronization breakdown.
    • Noise can paradoxically enhance order by inducing CR.
    • The findings offer insights into noise-induced phenomena in nonlinear systems.