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

  • Qianqian Qi
  • Bingchang ZhouEmail author
Original Paper


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 \(\omega\).


Stochastic resonance Underdamped periodic potential system Trichotomous noise Stochastic energetics 


05.40.-a 02.50.-r 



The authors would like to thank Khursheed Yousuf War of Northwestern Polytechnical University, China, for valuable discussions, as well as the anonymous reviewers for their helpful constructive comments that significantly improved the original version of this article. Bingchang Zhou’s contribution was supported by Shaanxi Natural Science Foundation of China (Grant No. 2017JM1038) and National Natural Science Foundation of China (Grant No. 11102155).


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Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China

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