Abstract
We analyze the stochastic resonance in a symmetric triple-well system with the depths of the wells being different. The system is subjected to a weak periodic force and Gaussian white noise with strength D. We show that the optimum value of noise intensity (DMAX) is minimum, while the signal-to-noise ratio is maximum when the ratio (R) of the depths of the middle and side wells is 1. At DMAX, the particle enters the middle well twice during every period of the external periodic force. When the depths of the three wells are equal (R=1), the mean residence time (TMR) in each well is T/4, where T is the period of the driving force. TMR varies with parameter R; however, periodicity in switching is observed at DMAX for any value of R. The generalized dimensions Dq decrease with an increase in noise intensity D, reach a minimum at D=DMAX and then increase for all values of R. The α–f(α) spectrum is always of incomplete concave shape with f(αmin)=0, while f(αmax)≠0 at any value of D and, moreover, the maximum value of α is minimum at D=DMAX.
Published Version
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