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Characterizing stochastic resonance in a triple cavity.

Ruoxing Mei1,2, Yong Xu1,3, Yongge Li1

  • 1School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|April 12, 2021
PubMed
Summary

Stochastic resonance (SR) in a triple cavity system was numerically investigated. The study found that triple cavities enhance SR compared to double cavities and that parameters like vertical force and noise intensity can regulate this phenomenon.

Keywords:
spectral amplificationstochastic resonancetriple cavity

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Biophysics

Background:

  • Confined biological structures influence system dynamics.
  • Stochastic resonance (SR) is a phenomenon where noise enhances signal detection in nonlinear systems.

Purpose of the Study:

  • To investigate stochastic resonance (SR) in a novel triple-cavity system.
  • To explore the influence of system parameters and noise on SR.
  • To compare SR in a triple cavity with other configurations.

Main Methods:

  • Numerical calculation of spectral amplification (η).
  • Analysis of SR under periodic force, constant vertical force, and noise.
  • Exploration of fractional Gaussian noise excitations.

Main Results:

  • Triple cavities exhibit enhanced SR compared to double cavities.
  • Cavity parameters and noise intensity regulate the maximum spectral amplification.
  • A vertical force is necessary for SR in the triple cavity due to reflection boundaries, decreasing maximum amplification.
  • Spectral amplification decreases with increasing vertical force and periodic force frequency.

Conclusions:

  • Triple-cavity systems offer enhanced stochastic resonance.
  • System parameters provide a means to tune and control SR.
  • Understanding these dynamics is crucial for biological systems with confined structures.