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Stochastic resonance in an overdamped system with a fractional power nonlinearity: Analytical and re-scaled analysis

  • Shuai Zhang
  • Yonglun Yao
  • Zhencai Zhu
  • Jianhua YangEmail author
  • Gang Shen
Regular Article
  • 25 Downloads

Abstract.

In our former work (Eur. Phys. J. Plus 132, 432 (2017)), we investigated the stochastic resonance phenomenon in the overdamped bistable system with a fractional power nonlinearity. However, the analytical explanations are missing and the former work only considers the low-frequency signal excitation case. In the present work, we give the analytical result based on the two-state theory. Moreover, through the general scale transformation method, we make the stochastic resonance occur in the system with an arbitrary high-frequency excitation. Further, as a new result, we find that the fractional-order value can also induce stochastic resonance. The meaning of the study lies in its application in engineering fields. By finding the optimal fractional-order value, we can obtain a much higher signal-to-noise ratio in the signal processing issues. Numerical simulations and experimental vibration signal simulations verify the analytical results.

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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mechatronic EngineeringChina University of Mining and TechnologyXuzhouChina
  2. 2.Jiangsu Key Laboratory of Mine Mechanical and Electrical EquipmentChina University of Mining and TechnologyXuzhouChina

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