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Dynamic analysis of a physical SBT memristor-based chaotic circuit. (English) Zbl 1420.94119

Summary: In this paper, a physical SBT memristor-based chaotic circuit is presented. The circuit dynamic behavior of dependence on the initial state of the SBT memristor and a key circuit parameter are investigated by theoretical analyses and numerical simulations. The results indicate that different initial states of the SBT memristor and the key circuit parameter can significantly impact the dynamic behavior of the chaotic circuit, such as stable sink, periodic cycle, chaos, and even some complex transient dynamics. It can guide future research on the realization of chaotic circuit based on physical SBT memristor.

MSC:

94C05 Analytic circuit theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Full Text: DOI

References:

[1] Bao, B. C., Jiang, P., Wu, H. G. & Hu, F. W. [2015] “ Complex transient dynamics in periodically forced memristive Chua’s circuit,” Nonlin. Dyn.79, 2333-2343.
[2] Chen, M., Yu, J. J., Yu, Q., Li, C. D. & Bao, B. C. [2014] “ Ultrafast synaptic events in a chalcogenide memristor,” Entropy16, 6464-6476.
[3] Chua, L. O. [1971] “ Memristor — The missing circuit element,” IEEE Trans. Circuit Th.18, 507-519.
[4] Corinto, F. & Ascoli, A. [2012] “ Memristive diode bridge with LCR filter,” Electron. Lett.48, 824-825.
[5] Dou, G., Yu, Y., Guo, M., Zhang, Y. M., Sun, Z. & Li, Y. X. [2017] “ Memristive behavior based on Ba-Doped \(<mml:math display=''inline`` overflow=''scroll``>\) films,” Chin. Phys. Lett.34, 038502.
[6] Itoh, M. & Chua, L. O. [2008] “ Memristor oscillators,” Int. J. Bifurcation and Chaos18, 3183-3206. · Zbl 1165.94300
[7] Itoh, M. & Chua, L. O. [2009] “ Memristor cellular automata and memristor discrete-time cellular neural networks,” Int. J. Bifurcation and Chaos19, 3605-3656. · Zbl 1182.37014
[8] Iu, H. H. C., Yu, D. S., Fitch, A. L., Sreeram, V. & Chen, H. [2011] “Controlling chaos in a memristor based circuit using a twin-t notch filter,” IEEE Trans. Circuits Syst.-I: Reg. Papers58, 1337-1344. · Zbl 1468.94650
[9] Jo, S. H., Kim, K. H. & Lu, W. [2009] “ High-density crossbar arrays based on a Si memristive system,” Nano Lett.9, 870-874.
[10] Jo, S. H., Chang, T., Ebong, I., Bhadviya, B. B., Mazumder, P. & Lu, W. [2010] “ Nanoscale memristor device as synapse in neuromorphic systems,” Nano Lett.10, 1297-1301.
[11] Kim, H., Sah, M. P., Yang, C. J., Cho, S. & Chua, L. O. [2012] “Memristor emulator for memristor circuit applications,” IEEE Trans. Circuits Syst.-I: Reg. Papers59, 2422-2431. · Zbl 1468.94667
[12] Li, Q. D., Hu, S. Y., Tang, S. & Zeng, G. [2014] “ Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation,” Int. J. Circ. Theor. Appl.42, 1172-1188.
[13] Sanchez-Lopez, C. & Mendoza-Lopez, J. [2014] “ A floating analog memristor emulator circuit,” IEEE Trans. Circuits Syst.-II: Expr. Briefs61, 309-313.
[14] Strukov, D. B., Snider, G. S., Stewart, D. R. & Williams, R. S. [2008] “ The missing memristor found,” Nature453, 80-83.
[15] Wang, X. Y., Fitch, A. L., Iu, H. H. C., Sreeram, V. & Qin, W. G. [2012] “ Implementation of an analogue model of a memristor based on a light-dependent resistor,” Chin. Phys. B21, 108501.
[16] Wen, S. P., Zeng, Z. G., Huang, T. W. & Zhang, Y. D. [2014] “ Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators,” IEEE Trans. Fuzzy Syst.22, 1704-1713.
[17] Williams, R. S. [2014] “ How we found the missing memristor,” Spectrum IEEE45, 28-35.
[18] Yu, D. S., Liang, Y., Chen, H. & Iu, H. H. C. [2013] “ Design of a practical memcapacitor emulator without grounded restriction,” IEEE Trans. Circuits Syst.-II: Expr. Briefs60, 207-211.
[19] Yu, Q., Bao, B. C., Hu, F. W., Xu, Q., Chen, M. & Wang, J. [2014] “ Wien-bridge chaotic oscillator based on first-order generalized memristor,” Acta Phys. Sin.24, 240504.
[20] Zhang, Y. M., Dou, G., Sun, Z., Guo, M. & Li, Y. X. [2017] “ Establishment of physical and mathematical models for \(<mml:math display=''inline`` overflow=''scroll``>\) memristor,” Int. J. Bifurcation and Chaos27, 1750148-1-10.
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