How to tune the system parameters to realize stochastic resonance

Abstract

The paper presents a numerical method of realizing stochastic resonance (SR) by tuning system parameters. Firstly, a simple and effective method of evaluating the system response speed λ1 is introduced. Then the parameter-induced SR problem can be reduced to the parameter optimization problem under the condition λ1 = const. To solve this optimization problem, we put forward the following techniques: (i) compensate the deviation from the prescribed system response speed λ1 at each step, (ii) take the curve length increment on the parameter plane as the step size in searching the maximal signal-to-noise ratio (SNR) gain. Finally, a numerical simulation confirms the effectiveness of this method.