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Stochastic multiresonance in a time-delayed asymmetric bistable system modulated by periodic rectangular signal and colored noises

  • X. Y. Zhang
  • X. Y. Zheng
Original Paper
  • 5 Downloads

Abstract

Stochastic multiresonance in a time-delayed asymmetric bistable system modulated by periodic rectangular signal and colored noises was investigated. By using the small time delay method and two-state theory, we have obtained the expression of its signal-to-noise ratio (SNR). The numerical results indicate the SNR exhibits stochastic multiresonance as a function of intensity of multiplicative noise, the intensity of additive noise, self-correlation time of multiplicative noise, self-correlation time of additive noise and delay time. In addition, when the SNR is a function of intensity of additive noise and delay time, the corresponding curves of SNR have four peaks.

Keywords

Stochastic multiresonance Delay time Colored noise Periodic rectangular signal 

PACS Nos.

05.40.-a 02.50.-r 

Notes

Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant No. 11702206), the Science Foundation of the Education Bureau of Shaanxi Province, China (Grant No. 2013JK0585), the Natural Science Basic Research Plan of Shaanxi Province, China (Grant No. 2018JQ1043), and the science Foundation of Xi’an University of Architecture and Technology (Grant No. QN1437).

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Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  1. 1.Department of MathematicsXi’an University of Architecture and TechnologyXi’anChina

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