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Introduction

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Abstract

Any two-terminal element exhibits pinched hysteresis loop when derived by bipolar periodic current (response voltage) or periodic voltage (response current), in the voltagecurrent plane, can be called memristor. The pinched hysteresis loop is a fingerprint of memristor (Adhikari et al. in IEEE Trans. Circ. Syst. I Regul. Pap. 60:3008–3021, 2013 [1]).

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References

  1. S.P. Adhikari, M.P. Sah, H. Kim, L.O. Chua, Three fingerprints of memristor. IEEE Trans. Circ. Syst. I Regul. Pap. 60(11), 3008–3021 (2013)

    Article  Google Scholar 

  2. L. Chua, If it’s pinched it’s a memristor. Semicond. Sci. Technol. 29(10), 104001 (2014)

    Article  Google Scholar 

  3. L. Chua, Memristor—the missing circuit element. IEEE Trans. Circ. Theor. 18(5), 507–519 (1971)

    Article  Google Scholar 

  4. A.G. Radwan, M.E. Fouda, On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor, vol. 26 (Springer International Publishing, Switzerland, 2015). ISBN 978-3-319-17490-7

    Google Scholar 

  5. J.J. Yang, M.D. Pickett, X. Li, D.A. Ohlberg, D.R. Stewart, R.S. Williams, Memristive switching mechanism for metal/oxide/metal nanodevices. Nat. Nanotechnol. 3(7), 429 (2008)

    Article  Google Scholar 

  6. D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, The missing memristor found. Nature 453(7191), 80 (2008)

    Article  Google Scholar 

  7. M.P. Kennedy, Three steps to chaos. II. A Chua’s circuit primer. IEEE Trans. Circ. Syst. I Fundam. Theor. Appl. 40(10), 657–674 (1993)

    Article  MathSciNet  Google Scholar 

  8. A. Thomas, Memristor-based neural networks. J. Phys. D Appl. Phys. 46(9), 093001 (2013)

    Article  Google Scholar 

  9. M. Itoh, L.O. Chua, Memristor oscillators. Int. J. Bifurcat. Chaos 18(11), 3183–3206 (2008)

    Article  MathSciNet  Google Scholar 

  10. B. Muthuswamy, P.P. Kokate, Memristor-based chaotic circuits. IETE Techn. Rev. 26(6), 417–429 (2009)

    Article  Google Scholar 

  11. B. Muthuswamy, Implementing memristor based chaotic circuits. Int. J. Bifurcat. Chaos 20(05), 1335–1350 (2010)

    Article  Google Scholar 

  12. B. Bo-Cheng, X. Jian-Ping, Z. Guo-Hua, M. Zheng-Hua, Z. Ling, Chaotic memristive circuit: equivalent circuit realization and dynamical analysis. Chin. Phys. B 20(12), 120502 (2011)

    Google Scholar 

  13. Y. Li, L. Zhao, W. Chi, S. Lu, X. Huang, Implementation of a new memristor based chaotic system, in IEEE Fifth International Workshop on Chaos-Fractals Theories and Applications, pp. 92–96 (2012)

    Google Scholar 

  14. V.-T. Pham, A. Buscarino, L. Fortuna, M. Frasca, Simple memristive time-delay chaotic systems. Int. J. Bifurcat. Chaos 23(04), 1350073 (2013)

    Article  MathSciNet  Google Scholar 

  15. Z. Wang, F. Min, and E. Wang, A new hyperchaotic circuit with two memristors and its application in image encryption. AIP Adv. 6(9), 095316 (2016)

    Article  Google Scholar 

  16. Q. Xu, Q. Zhang, B. Bao, and Y. Hu, Non-autonomous second-order memristive chaotic circuit. IEEE Access 5, 21039–21045 (2017)

    Article  Google Scholar 

  17. T.L. Carroll, L.M. Pecora, Synchronization in chaotic Systems, Phys. Rev. Lett. 64(8), 215–248 (1990)

    Google Scholar 

  18. T.-L. Liao, S.-H. Tsai, Adaptive synchronization of chaotic systems and its application to secure communications. Chaos, Solitons & Fractals 11(9), 1387–1396 (2000)

    Article  Google Scholar 

  19. T. Huang, C. Li, W. Yu, G. Chen, Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. IOPsci. Nonlinearity 22(3), 569 (2009)

    Article  MathSciNet  Google Scholar 

  20. V.K. Tamba, K. Rajagopal, V.-T. Pham, D.V. Hoang, Chaos in a system with an absolute nonlinearity and chaos synchronization. Adv. Math. Phys. 2018 (2018)

    Google Scholar 

  21. K.M. Cuomo, A.V. Oppenheim, S.H. Strogatz, Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans. Circ. Syst. II Analog Digital Signal Process. 40(10), 626–633 (1993)

    Article  Google Scholar 

  22. T. Yang, C.W. Wu, L.O. Chua, Cryptography based on chaotic systems. IEEE Trans. Circ. Syst. I Fundam. Theor. Appl. 44(5), 469–472 (1997)

    Google Scholar 

  23. K. Fallahi, R. Raoufi, H. Khoshbin, An application of Chen system for secure chaotic communication based on extended Kalman filter and multi-shift cipher algorithm. Commun. Nonlinear Sci. Numer. Simul. 13(4), 763–781 (2008)

    Article  MathSciNet  Google Scholar 

  24. C. Volos, A. Akgul, V.-T. Pham, I. Stouboulos, I. Kyprianidis, A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme. Nonlinear Dyn. 89(2), 1047–1061 (2017)

    Article  Google Scholar 

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Correspondence to Fadhil Rahma .

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Rahma, F., Muneam, S. (2019). Introduction. In: Memristive Nonlinear Electronic Circuits. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-11921-8_1

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  • DOI: https://doi.org/10.1007/978-3-030-11921-8_1

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