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Stochastic resonance in delayed two-coupled oscillators without common perturbations.

Q S Li1, R Zhu

  • 1School of Chemical Engineering and Materials Science, Beijing Institute of Technology, Beijing 100081, People's Republic of China. qsli@mh.bit.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

Stochastic resonance (SR) in coupled oscillators is explored. Uneven signal and noise inputs affect SR, with noise alone enabling it, impacting biological information transmission.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Stochastic resonance (SR) is a phenomenon where a nonlinear system's response to a weak signal is enhanced by adding noise.
  • Coupled oscillator systems are fundamental models in various scientific disciplines, including neuroscience and physics.
  • Time delays in coupled systems can lead to complex dynamics, including multistability.

Purpose of the Study:

  • To investigate stochastic resonance (SR) in a two-coupled oscillator system with time delay.
  • To explore the effects of non-uniform periodic signals and noise inputs on individual oscillators within the coupled system.
  • To understand how SR is influenced by factors like phase shifts and the presence of signal versus noise alone.

Main Methods:

  • Numerical simulations were employed to analyze the behavior of the two-coupled oscillator system.
  • The signal-to-noise ratio (SNR) was used to quantify SR in individual oscillators.
  • The system was analyzed under conditions of varying signal phases and noise distributions.

Main Results:

  • The system exhibited multistability, including desynchronized and two distinct synchronized states.
  • Phase shifts between input signals to the oscillators were found to weaken SR.
  • An oscillator receiving only input noise demonstrated SR, independent of any input signal.

Conclusions:

  • The findings highlight the critical role of input signal and noise characteristics in modulating SR within coupled systems.
  • The study provides insights into how environmental differences (non-uniform inputs) affect information processing in coupled oscillators.
  • The results have potential implications for understanding information transmission in biological systems, particularly concerning perception and neural processing.