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Improvement in the stochastic resonance in the Duffing oscillator subjected to a Poisson white noise excitation

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Abstract

Poisson white noise is a typical noise used in science and engineering, which can induce stochastic resonance to detect the characteristic signal submerged in it. However, the weak performance of stochastic resonance will reduce the efficiency of the signal detection. In this paper, we study two methods of improving the stochastic resonance induced by Poisson white noise. One is tuning system parameters to change the shape of the potential function on which the SR performance closely depends. The other is adding a high-frequency harmonic excitation as an auxiliary signal to induce vibrational resonance to cooperate with the stochastic resonance. Through numerical simulation, we attempt to apply these two methods to improve the weak stochastic resonance under the same conditions, respectively, in order to compare their improvement effects. The results show that both methods can improve stochastic resonance to a certain extent and the latter is better than the former. Also, we find that the improvement effect of stochastic resonance will be further improved once we combine the two methods.

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References

  1. L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)

    Article  ADS  Google Scholar 

  2. K. Wiesenfeld, F. Moss, Nature 373, 33 (1995)

    Article  ADS  Google Scholar 

  3. V. Galdi, V. Pierro, I.M. Pinto, Phys. Rev. E 57, 6470 (1998)

    Article  ADS  Google Scholar 

  4. M. He, W. Xu, Z. Sun, W. Jia, Nonlinear Dyn. 88, 1163 (2017)

    Article  Google Scholar 

  5. X. Luo, S. Zhu, Phys. Rev. E 67, 021104 (2003)

    Article  ADS  Google Scholar 

  6. F. Long, W. Guo, D. Mei, Physica A 391, 5305 (2012)

    Article  ADS  Google Scholar 

  7. M. He, W. Xu, Z. Sun, L. Du, Commun. Nonlinear Sci. 28, 39 (2015)

    Article  Google Scholar 

  8. D. Huang, J. Yang, D. Zhou, G. Litak, H. Liu, J. Comput. Nonlinear Dyn. 14, 031010 (2019)

    Article  Google Scholar 

  9. M. Grigoriu, J. sound Vib. 195, 375 (1996)

    Article  ADS  Google Scholar 

  10. Y. Wu, W. Zhu, Phys. Lett. A 372, 623 (2008)

    Article  ADS  Google Scholar 

  11. S.F. Wojtkiewicz, E.A. Johnson, L.A. Bergman, M. Grigoriu, B.F. Spencer Jr., Comput. Method. Appl. M. 168, 73 (1999)

    Article  Google Scholar 

  12. M. Grigoriu, Probab. Eng. Mech. 24, 397 (2009)

    Article  Google Scholar 

  13. C. Zhu, W. Zhu, J. Vib. Control 20, 323 (2014)

    Article  MathSciNet  Google Scholar 

  14. M.A. Fuentes, R. Toral, H.S. Wio, Physica A 295, 114 (2001)

    Article  ADS  Google Scholar 

  15. P. Hänggi, P. Jung, C. Zerbe, F. Moss, J. Stat. Phys. 70, 25 (1993)

    Article  ADS  Google Scholar 

  16. D. Nozaki, Y. Yamamoto, Phys. Lett. A 243, 281 (1998)

    Article  ADS  Google Scholar 

  17. N.G. Stocks, N.D. Stein, P.V. McClintock, J. Phys. A-Math. Gen. 26, L385 (1993)

    Article  ADS  Google Scholar 

  18. X. Liu, H. Liu, J. Yang, G. Litak, G. Cheng, S. Han, Mech. Syst. Signal Pr. 96, 58 (2017)

    Article  Google Scholar 

  19. D. Wu, S. Zhu, Phys. Lett. A 372, 5299 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  20. J. Yang, M.A.F. Sanjuán, H. Liu, G. Litak, X. Li, Commun. Nonlinear Sci. 41, 104 (2016)

    Article  Google Scholar 

  21. Y. Gong, B. Xu, X. Ma, Y. Dong, C. Yang, J. Phys. Chem. C 111, 4264 (2007)

    Article  Google Scholar 

  22. P.S. Landa, P.V. McClintock, J. Phys. A-Math. Gen. 33, L433 (2000)

    Article  ADS  Google Scholar 

  23. V.N. Chizhevsky, G. Giacomelli, Phys. Rev. E 77, 051126 (2008)

    Article  ADS  Google Scholar 

  24. J. Zhao, J. Yang, J. Zhang, C. Wu, D. Huang, J. Stat. Phys. 173, 1688 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  25. A.A. Zaikin, L. Lopez, J.P. Baltanás, J. Kurths, M.A.F. Sanjuán, Phys. Rev. E 66, 011106 (2002)

    Article  ADS  Google Scholar 

  26. V.N. Chizhevsky, G. Giacomelli, Phys. Rev. A 71, 011801 (2005)

    Article  ADS  Google Scholar 

  27. S. Rajasekar, M.A.F. Sanjuán, Nonlinear Resonances. Springer Series in Synergetics (Springer, Switzerland, 2016).

    Google Scholar 

  28. B. Xu, F. Duan, R. Bao, J. Li, Chaos Soliton. Fract. 13, 633 (2002)

    Article  ADS  Google Scholar 

  29. J. Li, B. Xu, Chin. Phys. 15, 2867 (2006)

    Article  Google Scholar 

  30. B. Xu, F. Duan, F. Chapeau-Blondeau, Phys. Rev. E 69, 061110 (2004)

    Article  ADS  Google Scholar 

  31. J. Li, X. Chen, Z. Du, Z. Fang, Z. He, Renew. Energ. 60, 7 (2013)

    Article  Google Scholar 

  32. S. Xie, B. Xiang, H. Deng, S. Xiang, J. Lu, Anal. Chim. Acta 585, 60 (2007)

    Article  Google Scholar 

  33. P. Xia, H. Xu, M. Lei, Z. Ma, Meas. Sci. Technol. 29, 085002 (2018)

    Article  ADS  Google Scholar 

  34. D. Huang, J. Yang, J. Zhang, H. Liu, P.I. Mech, Eng. C-J. Mec. 232, 2352 (2018)

    Google Scholar 

  35. J. Li, J. Zhang, M. Li, Y. Zhang, Mech. Syst. Signal Pr. 114, 128 (2019)

    Article  Google Scholar 

  36. X. Zhang, J. Wang, Z. Liu, J. Wang, ISA T. 84, 283 (2019)

    Article  Google Scholar 

  37. N.S. Namachchivaya, Appl. Math. Comput. 38, 101 (1990)

    MathSciNet  Google Scholar 

  38. A. Zakharova, T. Vadivasova, V. Anishchenko, A. Koseska, J. Kurths, Phys. Rev. E 81(1), 011106 (2010)

    Article  ADS  Google Scholar 

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Acknowledgements

Jianhua Yang acknowledges financial support by the National Natural Science Foundation of China (Grant No. 12072362), the Priority Academic Program Development of Jiangsu Higher Education Institutions. Miguel A. F. Sanjuán acknowledges the financial support of the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF, EU) under Project No. PID2019-105554GB-I00.

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Authors and Affiliations

  1. School of Mechatronic Engineering, Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, Xuzhou, 221116, China

    Huayu Liu & Jianhua Yang

  2. Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n 28933, Móstoles, Madrid, Spain

    Miguel A. F. Sanjuán

  3. Department of Applied Informatics, Kaunas University of Technology, Studentu 50-415, Kaunas, 51368, Lithuania

    Miguel A. F. Sanjuán

Authors
  1. Huayu Liu
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  2. Jianhua Yang
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  3. Miguel A. F. Sanjuán
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Correspondence to Jianhua Yang.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Liu, H., Yang, J. & Sanjuán, M.A.F. Improvement in the stochastic resonance in the Duffing oscillator subjected to a Poisson white noise excitation. Eur. Phys. J. Plus 136, 528 (2021). https://doi.org/10.1140/epjp/s13360-021-01537-2

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01537-2

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