Abstract
Any two-terminal element exhibits pinched hysteresis loop when derived by bipolar periodic current (response voltage) or periodic voltage (response current), in the voltage–current 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]).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
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)
L. Chua, If it’s pinched it’s a memristor. Semicond. Sci. Technol. 29(10), 104001 (2014)
L. Chua, Memristor—the missing circuit element. IEEE Trans. Circ. Theor. 18(5), 507–519 (1971)
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
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)
D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, The missing memristor found. Nature 453(7191), 80 (2008)
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)
A. Thomas, Memristor-based neural networks. J. Phys. D Appl. Phys. 46(9), 093001 (2013)
M. Itoh, L.O. Chua, Memristor oscillators. Int. J. Bifurcat. Chaos 18(11), 3183–3206 (2008)
B. Muthuswamy, P.P. Kokate, Memristor-based chaotic circuits. IETE Techn. Rev. 26(6), 417–429 (2009)
B. Muthuswamy, Implementing memristor based chaotic circuits. Int. J. Bifurcat. Chaos 20(05), 1335–1350 (2010)
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)
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)
V.-T. Pham, A. Buscarino, L. Fortuna, M. Frasca, Simple memristive time-delay chaotic systems. Int. J. Bifurcat. Chaos 23(04), 1350073 (2013)
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)
Q. Xu, Q. Zhang, B. Bao, and Y. Hu, Non-autonomous second-order memristive chaotic circuit. IEEE Access 5, 21039–21045 (2017)
T.L. Carroll, L.M. Pecora, Synchronization in chaotic Systems, Phys. Rev. Lett. 64(8), 215–248 (1990)
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)
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)
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)
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)
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)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-11921-8_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11920-1
Online ISBN: 978-3-030-11921-8
eBook Packages: EngineeringEngineering (R0)