Effect of the Potential Shape on the Stochastic Resonance Processes

Abstract

The stochastic resonance (SR) induced by periodic signal and white noises in a periodic nonsinusoidal potential is investigated. This phenomenon is studied as a function of the friction coefficient as well as the shape of the potential. It is done through an investigation of the hysteresis loop area which is equivalent to the input energy lost by the system to the environment per period of the external force. SR is evident in some range of the shape parameter of the potential, but cannot be observed in the other range. Specially, variation of the shape potential affects significantly and not trivially the heigh of the potential barrier in the Kramers rate as well as the occurrence of SR. The finding results show crucial dependence of the temperature of occurrence of SR on the shape of the potential. It is noted that the maximum of the input energy generally decreases when the friction coefficient is increased.

Noise effect on the dynamics and synchronization of saline oscillator’s model

“…Therefore it would be interesting to study the behavior of the system subjected to multiplicative noise [27] in order to achieve better understanding of the effects of noise. Also, the phenomenon of noise-induced enhancement of sensitivity of a nonlinear system subjected to external forcing (stochastic resonance) [35][36][37][38][39][40][41][42][43][44][45][46][47] could be sought within the present system in further investigations. …”

“…Some of these noise-induced behaviors have been referred to as noise-enhanced stability [24][25][26] , noise-induced pattern formation [27][28][29][30][31][32][33][34] and stochastic resonance [35][36][37][38][39][40][41][42] . The later behavior has been reported in a large variety of natural systems and has become an interdisciplinary subject in science [43][44][45][46][47] .…”

An improved stochastic resonance method with arbitrary stable-state matching in underdamped nonlinear systems with a periodic potential for incipient bearing fault diagnosis

“…However, using UMUSR [30] it is difficult to achieve arbitrary stable-state matching between vibration signals and stable-state types due to the limited stable-state types of its potential function which only include monostable, bistable and even tristable types. Besides, there has been intense investigations into many underdamped periodic potential SR (UPSR) methods [31][32][33][34][35][36][37][38][39]. Saikia et al [31] and Reenbohn et al [34] have shown numerically that underdamped SR in the periodic potential (UPSR) indeed occur.…”

“…After that, Liu and Jin [38] studied an UPSR model driven by a colored noise and a harmonic excitation. Djuijé Kenmoé et al [39] researched the occurrence of underdamped SR in a variable nonsinusoidal periodic potential system. In the subsequent work, the role of the system damping [32] and the driving amplitude [35] in the underdamped periodic potential system was studied and the opinion that UPSR can arouse not only intrawell oscillation but also interwell transition [32,37] have been confirmed.…”