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Nonlinear stochastic resonance with subthreshold rectangular pulses.

Jesús Casado-Pascual1, José Gómez-Ordóñez, Manuel Morillo

  • 1Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Seville 41080, Spain. jcasado@us.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 13, 2004
PubMed
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We investigated nonlinear stochastic resonance (SR) in bistable systems with pulsed forces. Optimal pulse durations were found to enhance signal-to-noise ratios beyond unity, demonstrating a nonmonotonic relationship for improved performance.

Area of Science:

  • Nonlinear Dynamics
  • Stochastic Systems
  • Signal Processing

Background:

  • Stochastic Resonance (SR) is a phenomenon where a weak signal in a nonlinear system can be amplified by adding noise.
  • Bistable systems, characterized by two stable states, are common platforms for observing SR.
  • Pulsed periodic forces introduce unique driving dynamics that can modify SR behavior.

Purpose of the Study:

  • To analyze nonlinear stochastic resonance in bistable systems subjected to a specific pulsed periodic driving force.
  • To investigate the impact of pulse duration and noise strength on signal-to-noise ratio (SNR) and SR gain.
  • To explore the dependence of SR performance on the relative duration of opposing pulses within the driving force.

Main Methods:

  • Numerical analysis of a noisy bistable system driven by a time-periodic force.

Related Experiment Videos

  • The driving force consists of two equal-amplitude, opposite-sign pulses per period, each starting at a half-period interval.
  • Systematic variation of pulse duration, noise strength, and subthreshold driving amplitudes to observe SR effects.

    • Main Results:

    • The output signal-to-noise ratio and stochastic resonance gain were quantified.
    • Stochastic resonance gains exceeding unity were achieved for subthreshold driving amplitudes.
    • Maximum SR gains exhibited a nonmonotonic dependence on the relative pulse duration, indicating an optimal range.

    Conclusions:

    • Nonlinear stochastic resonance can be effectively enhanced in bistable systems using tailored pulsed driving forces.
    • The relative duration of the pulses is a critical parameter influencing the magnitude of SR gain.
    • Optimal pulse durations exist for maximizing signal amplification, with gains potentially surpassing unity.