Stochastic resonance in an underdamped periodic potential system with symmetric trichotomous noise

Abstract

Stochastic resonance (SR) is investigated in an underdamped periodic potential system subject to cosine signal with symmetric trichotomous noise measured by using the average input energy per period $$\langle \overline{W} \rangle$$ numerically. The results show that: (1) The curve of $$\langle \overline{W} \rangle$$ has the peak value as a function of trichotomous noise intensity $$D$$ in a domain parameter, that is, SR can occur in the system; (2) SR can be enhanced by increasing signal amplitude $$A$$, trichotomous noise amplitude $$a$$ and stationary probability $$q$$ and can be weakened by increasing asymmetric coefficient $$\alpha$$; and (3) the peak value of $$\langle \overline{W} \rangle$$ first increases and then decreases with the increase in friction coefficient $$\gamma$$. However, the peak value of $$\langle \overline{W} \rangle$$ decreases at first and then increases with the increase in signal frequency $$\omega$$.