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The European Physical Journal Special Topics

, Volume 228, Issue 10, pp 1983–1994 | Cite as

Inductor-free multi-stable Chua’s circuit constructed by improved PI-type memristor emulator and active Sallen–Key high-pass filter

  • Jiaoyan Luo
  • Han Bao
  • Mo Chen
  • Quan Xu
  • Bocheng BaoEmail author
Regular Article
  • 3 Downloads
Part of the following topical collections:
  1. Memristor-based Systems: Nonlinearity, Dynamics and Applications

Abstract

Based on an improved proportion-integral-type (PI-type) memristor emulator and an active Sallen–Key high-pass filter (HPF), a new memristive Chua’s circuit with inductor-free implementation is presented in this paper. The memristive Chua’s circuit possesses a line equilibrium state with unstable and stable region distributions, leading to the emergence of multi-stable patterns, i.e., the coexistence of multiple attractors for different initial values. With the normalized mathematical model, local basins of attraction, bifurcation plots and phase plane plots are numerically simulated, from which the initial values-related bifurcation behaviors are demonstrated and coexisting multiple attractors are obtained in the presented memristive Chua’s circuit. Finally, circuit simulations by PSIM software are performed and the results verify the numerical plots.

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References

  1. 1.
    K. Eshraghian, O. Kavehei, K.R. Cho, J.M. Chappell, A. Iqbal, S.F. Al-Sarawi, D. Abbott, Proc. IEEE 100, 1991 (2012)CrossRefGoogle Scholar
  2. 2.
    D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, Nature 453, 80 (2008)ADSCrossRefGoogle Scholar
  3. 3.
    B.C. Bao, Q.D. Li, N. Wang, Q. Xu, Chaos 26, 043111 (2016)ADSMathSciNetCrossRefGoogle Scholar
  4. 4.
    A.S. Elwakil, M.P. Kennedy, I.E.E.E. Trans, Circuits Syst. I: Regul. Pap. 47, 76 (2000)CrossRefGoogle Scholar
  5. 5.
    M.P. Kennedy, Frequenz 46, 66 (1992)ADSCrossRefGoogle Scholar
  6. 6.
    B. Premlet, Int. J. Electron. 98, 667 (2011)CrossRefGoogle Scholar
  7. 7.
    B.C. Bao, T. Jiang, G.Y. Wang, P.P. Jin, H. Bao, M. Chen, Nonlinear Dyn. 89, 1157 (2017)CrossRefGoogle Scholar
  8. 8.
    M. Chen, B.C. Bao, T. Jiang, H. Bao, Q. Xu, H.G. Wu, J. Wang, Int. J. Bifurc. Chaos 28, 1850120 (2018)CrossRefGoogle Scholar
  9. 9.
    M. Chen, J.J. Yu, B.C. Bao, Electron. Lett. 51, 462 (2015)CrossRefGoogle Scholar
  10. 10.
    A.L. Fitch, D.S. Yu, H.H.C. Iu, V. Sreeram, Int. J. Bifurc. Chaos 22, 1250133 (2012)CrossRefGoogle Scholar
  11. 11.
    I. Petras, I.E.E.E. Trans, IEEE Trans. Circuits Syst. II: Express Briefs 57, 975 (2010)CrossRefGoogle Scholar
  12. 12.
    S.P. Wen, Z.G. Zeng, T.W. Huang, Phys. Lett. A 376, 2775 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    Q. Xu, Y. Lin, B.C. Bao, M. Chen, Chaos Soliton Fractals 83, 186 (2016)ADSCrossRefGoogle Scholar
  14. 14.
    B.C. Bao, L. Xu, N. Wang, H. Bao, Q. Xu, M. Chen, AEU - Int. J. Electron. Commun. 94, 26 (2018)CrossRefGoogle Scholar
  15. 15.
    J. Kengne, Z.N. Tabekoueng, V.K. Tamba, A.N. Negou, Chaos 25, 103126 (2015)ADSMathSciNetCrossRefGoogle Scholar
  16. 16.
    Z.N. Tabekoueng, J. Kengne, H.B. Fotsin, A.N. Negou, D. Tchiotsop, Chaos Soliton Fractals 91, 180 (2016)ADSCrossRefGoogle Scholar
  17. 17.
    H.G. Wu, B.C. Bao, Z. Liu, Q. Xu, P. Jiang, Nonlinear Dyn. 83, 893 (2016)CrossRefGoogle Scholar
  18. 18.
    J.H. Zhang, X.F. Liao, AEU - Int. J. Electron. Commun. 75, 82 (2017)CrossRefGoogle Scholar
  19. 19.
    C. Hens, S.K. Dana, U. Feudel, Chaos 25, 053112 (2015)ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    Z. Wang, A. Akgul, V.T. Pham, S. Jafari, Nonlinear Dyn. 89, 1877 (2017)CrossRefGoogle Scholar
  21. 21.
    C.B. Li, W. Hu, J.C. Sprott, X. Wang, Eur. Phys. J. Special Topics 224, 1493 (2015)ADSCrossRefGoogle Scholar
  22. 22.
    C.B. Li, J.C. Sprott, H.Y. Xing, Int. J. Bifurc. Chaos 26, 1650233 (2017)CrossRefGoogle Scholar
  23. 23.
    V.T. Pham, C. Volos, T. Kapitaniak, S. Jafari, X. Wang, Int. J. Electron. 105, 385 (2018)Google Scholar
  24. 24.
    K. Rajagopal, V.T. Pham, F.E. Alsaadi, F.E. Alsaadi, A. Karthikeyan, P. Duraisamy, Eur. Phys. J. Special Topics 227, 837 (2018)ADSCrossRefGoogle Scholar
  25. 25.
    P.R. Sharma, M.D. Shrimali, A. Prasad, N.V. Kuznetsov, G.A. Leonov, Eur. Phys. J. Special Topics 224, 1485 (2015)ADSCrossRefGoogle Scholar
  26. 26.
    V.T. Pham, C. Volos, S. Jafari, T. Kapitaniak, Nonlinear Dyn. 87, 2001 (2017)CrossRefGoogle Scholar
  27. 27.
    N.W. Abderrahim, F.Z. Benmansour, O. Seddiki, Nonlinear Dyn. 78, 197 (2014)CrossRefGoogle Scholar
  28. 28.
    K. Nosrati, C. Volos, A. Azemi, Signal Process. Image Commun. 58, 35 (2017)CrossRefGoogle Scholar
  29. 29.
    A. Quannas, N. Debbouche, X. Wang, V.T. Pham, O. Zehrour, Appl. Sci. 8, 1746 (2018)CrossRefGoogle Scholar
  30. 30.
    H. Bao, N. Wang, H.G. Wu, Z. Song, B.C. Bao, I.E.T.E. Tech, Rev. 36, 109 (2019)Google Scholar
  31. 31.
    B.C. Bao, J.Y. Luo, H. Bao, Q. Xu, Y.H. Hu, M. Chen, Circuit World 44, 178 (2018)CrossRefGoogle Scholar
  32. 32.
    K.L. Cheng, S.C. Neoh, Proc. of the 4th Asia Symposium on Quality Electronic Design (2012), p. 174Google Scholar
  33. 33.
    B.C. Bao, N. Wang, M. Chen, Q. Xu, J. Wang, Nonlinear Dyn. 84, 511 (2016)CrossRefGoogle Scholar
  34. 34.
    K. Rajagopal, S. Arun, A. Karthikeyan, P. Duraisamy, A. Srinivasan, AEU - Int. J. Electron. Commun. 95, 249 (2018)CrossRefGoogle Scholar
  35. 35.
    K. Rajagopal, H. Jahanshahi, M. Varan, I. Bay r, V.T. Pham, S. Jafari, A. Karthikeyan, AEU - Int. J. Electron. Commun. 94, 55 (2018)CrossRefGoogle Scholar
  36. 36.
    K. Rajagopal, A. Karthikeyan, A. Srinivasan, Nonlinear Dyn. 91, 1491 (2018)CrossRefGoogle Scholar
  37. 37.
    B.C. Bao, Z.H. Ma, J.P. Xu, Z. Liu, Q. Xu, Int. J. Bifurc. Chaos 21, 2629 (2011)CrossRefGoogle Scholar
  38. 38.
    J. Ma, F.Q. Wu, G.D. Ren, J. Tang, Appl. Math. Comput. 298, 65 (2017)MathSciNetGoogle Scholar

Copyright information

© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Jiaoyan Luo
    • 1
  • Han Bao
    • 1
  • Mo Chen
    • 1
  • Quan Xu
    • 1
  • Bocheng Bao
    • 1
    Email author
  1. 1.School of Information Science and Engineering, Changzhou UniversityChangzhouP.R. China

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