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Monostable array-enhanced stochastic resonance.

J F Lindner1, B J Breen, M E Wills

  • 1Department of Physics, The College of Wooster, Wooster, Ohio 44691-2363, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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This study introduces a nonlinear system with multiple distinct stochastic resonances. By tuning noise and coupling, researchers can induce N-1 resonances in an array of N oscillators, aiding noise-mediated phenomena.

Area of Science:

  • Nonlinear Dynamics
  • Statistical Physics
  • Complex Systems

Background:

  • Stochastic resonance is a phenomenon where a small amount of noise can enhance the performance of a nonlinear system.
  • Cooperative phenomena in nonlinear systems are often influenced by external factors like noise and coupling.

Purpose of the Study:

  • To demonstrate a simple nonlinear system capable of exhibiting multiple distinct stochastic resonances.
  • To explore how adjusting noise and coupling affects the spectral response of oscillator arrays.
  • To investigate the potential of these resonances in elucidating noise-mediated cooperative phenomena.

Main Methods:

  • Utilizing an array of underdamped, monostable oscillators.
  • Systematically adjusting the noise levels and inter-oscillator coupling.

Related Experiment Videos

  • Analyzing the spectral response of individual oscillators within the array.

    • Main Results:

    • The system exhibits multiple distinct stochastic resonances.
    • The number of observable resonances (N-1) directly correlates with the number of oscillators (N) in the array.
    • Tuning noise and coupling allows for modification of the array's natural frequencies, controlling resonance behavior.

    Conclusions:

    • The presented nonlinear system provides a platform for observing and controlling multiple stochastic resonances.
    • These findings offer insights into noise-mediated cooperative phenomena, such as noise-enhanced propagation.
    • The principles demonstrated are applicable to a broad class of nonlinear systems exhibiting similar cooperative behaviors.