Improvement in the stochastic resonance in the Duffing oscillator subjected to a Poisson white noise excitation

Abstract

Poisson white noise is a typical noise used in science and engineering, which can induce stochastic resonance to detect the characteristic signal submerged in it. However, the weak performance of stochastic resonance will reduce the efficiency of the signal detection. In this paper, we study two methods of improving the stochastic resonance induced by Poisson white noise. One is tuning system parameters to change the shape of the potential function on which the SR performance closely depends. The other is adding a high-frequency harmonic excitation as an auxiliary signal to induce vibrational resonance to cooperate with the stochastic resonance. Through numerical simulation, we attempt to apply these two methods to improve the weak stochastic resonance under the same conditions, respectively, in order to compare their improvement effects. The results show that both methods can improve stochastic resonance to a certain extent and the latter is better than the former. Also, we find that the improvement effect of stochastic resonance will be further improved once we combine the two methods.