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Stochastic resonance via parametric adaptation: Experiments and numerics.

Ishant Tiwari1, J M Cruz1, P Parmananda1

  • 1Department of Physics, Indian Institute of Technology, Bombay, Powai, Mumbai-400 076, India.

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This study demonstrates stochastic resonance (SR) in an electrochemical system by adjusting proximity to a bifurcation, not noise levels. This finding is crucial for biological systems with fixed noise and adjustable parameters.

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Area of Science:

  • Electrochemistry
  • Nonlinear Dynamics
  • Physical Chemistry

Background:

  • Stochastic resonance (SR) typically involves varying noise levels to enhance signal detection.
  • Electrochemical systems exhibit complex dynamics, including bifurcations, which can be influenced by noise.

Purpose of the Study:

  • To investigate a novel mechanism of stochastic resonance in an electrochemical system.
  • To explore SR by varying parametric distance from a homoclinic bifurcation while maintaining constant noise levels.

Main Methods:

  • Experimental study of metal corrosion in an acidic medium under potentiostatic conditions.
  • Utilizing applied potential as a control parameter and anodic current as the system variable.
  • Numerical simulations of a model system to validate experimental findings.

Main Results:

  • Observed stochastic resonance phenomena in the electrochemical system.
  • Demonstrated enhanced output fidelity with a weak subthreshold signal at an optimal distance from the bifurcation.
  • Confirmed that SR can occur by modulating system parameters rather than noise amplitude.

Conclusions:

  • A new paradigm for stochastic resonance is presented, driven by parametric control near a bifurcation.
  • This finding has implications for biological systems where environmental noise is uncontrollable.
  • Highlights the importance of understanding parameter-dependent SR in electrochemical and biological contexts.