Abstract
This brief proposes a new XOR circuit structure which contains a first-order generalized memristor, a voltage follower and a difference amplifier. The first-order generalized memristor model exhibits different dynamic behaviors with different input voltages. The non-polarity of the generalized memristor is proved through comparative analysis of the mathematical model and physical structure of the generalized memristor. Based on the non-polarity of the generalized memristor, the XOR circuit is designed and implemented using hardware. The influence with respect to the parameters of the generalized memristor on the circuit characteristics is discussed.
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References
L.O. Chua, IEEE Trans. Circuit Theory. 18, 507–519 (1971)
D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, Nature 453, 80–83 (2008)
G. Papandroulidakis, I. Vourkas, N. Vasileiadis, IEEE Trans. Circ. Syst. II Exp. Briefs. 61, 972–976 (2014)
F. Yuan, Y. Deng, Y.X. Li et al., Nonlinear Dyn. 96, 389–405 (2019)
W. Yi, K.K. Tsang, S.K. Lam et al., Nat. Commun. 9, 4661 (2018)
P. Maffezzoni, L. Daniel, N. Shukla et al., IEEE Trans. Circ. Syst. I Regular Papers. 62, 2207–2215 (2015)
M. Itoh, L. O. Chua. MEMRISTOR OSCILLATORS. in International Journal of Bifurcation and Chaos in Applied Sciences and Engineering(World Scientific 2008)
B.C. Bao, G.D. Shi, J.P. Xu et al., Sci. China Technol. Sci. 54, 2180–2187 (2011)
F. Yuan, G.Y. Wang, X.W. Wang, Chaos 26, 073107 (2016)
M. Chen, J.J. Yu, Q. Yu et al., Entropy 16, 6464–6476 (2014)
Y.L. Jiang, F. Yuan, Y.X. Li, Chaos 30, 123117 (2020)
J. Borghetti, G.S. Snider, P.J. Kuekes et al., Nature 464, 873–876 (2010)
E. Lehtonen, M. Laiho. In IEEE/ACM International Symposium on Nanoscale Architectures; 2009; p. 33-36
S. Kvatinsky, E.G. Friedman, A. Kolodny, U.C. Weiser, IEEE Trans. Very Large Scale Integr. Syst. 22, 2054–2066 (2014)
S. Kvatinsky, D. Belousov, S. Liman et al., IEEE Trans. Circ. Syst. II Exp. Briefs. 61, 895–899 (2014)
S. Kvatinsky, N. Wald, G. Satat et al., In Cellular Nanoscale Networks and Their Applications (CNNA), 2012 13th International Workshop on (IEEE, Turin, Italy, 2012)
G.Z. Liu, L.J. Zheng, G.Y. Wang et al., IEEE Access. 7, 43691–43696 (2019)
Z. Biolek, D. Biolek, V. Biolkova. SPICE Model of Memristor with Nonlinear Dopant Drift, in Radioengineering(2009)
Y. Liang, Z.Z. Lu, G.Y. Wang et al., IEEE Access. 7, 180181–180193 (2019)
B. C. Bao, J. J. Yu, F. W. Hu, et al. Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter, in International Journal of Bifurcation and Chaos in Applied Sciences and Engineering(World Scientific 2014)
S. Adhikari, M. Sah, H. Kim et al., IEEE Trans. Circ. Syst. I Regular Papers. 60, 3008–3021 (2013)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Numbers 61973200, 91848206 and 61801271), Shandong Provincial Natural Science Foundation of China (Grant Number ZR2019BF007), and the Qingdao Science and Technology Plan Project (Grant Number 19-6-2-9-cg), Taishan Scholar Project of Shandong Province of China.
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Jiang, F., Yuan, F. & Li, Y. Design and implementation of XOR logic circuit based on generalized memristor. Eur. Phys. J. Spec. Top. 231, 481–491 (2022). https://doi.org/10.1140/epjs/s11734-021-00345-0
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DOI: https://doi.org/10.1140/epjs/s11734-021-00345-0