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Doubly stochastic resonance

Zaikin1, Kurths, Schimansky-Geier

  • 1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.

Physical Review Letters
|September 16, 2000
PubMed
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Doubly stochastic resonance in nonlinear systems is achieved with two noise types. Optimal additive noise enhances signal coherence in coupled networks.

Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Statistical physics

Background:

  • Stochastic resonance (SR) typically involves a single noise source.
  • Nonlinear extended systems exhibit complex behaviors influenced by noise.
  • Understanding noise effects in coupled networks is crucial for various applications.

Purpose of the Study:

  • To investigate the phenomenon of doubly stochastic resonance (DSR).
  • To explore the combined effects of multiplicative and additive noise in nonlinear extended systems.
  • To determine conditions for optimal signal detection using DSR.

Main Methods:

  • Numerical simulations of signal-to-noise ratio (SNR).
  • Theoretical analysis using an effective two-state model.

Related Experiment Videos

  • Modeling coupled networks with multiplicative and additive noise components.
  • Main Results:

    • Multiplicative noise induces bimodality in the network's mean field.
    • Additive noise controls the system's response to periodic driving.
    • Optimal additive noise intensity maximizes coherence between mean field dynamics and input signal.
    • Numerical and theoretical results show good quantitative agreement.

    Conclusions:

    • Doubly stochastic resonance is a viable mechanism for enhancing signal detection in nonlinear extended systems.
    • The interplay between multiplicative and additive noise is key to achieving DSR.
    • This study provides a theoretical and numerical framework for understanding and utilizing DSR.