Abstract
A novel meminductor circuit model is showed in this paper, and the mathematical model is also derived. By utilizing this circuit model, a simple series chaotic circuit is constructed by resistor, capacitor, and meminductor. Stability and dynamical behaviors of the third-order meminductor chaos circuit are studied by a variety of nonlinear analyzing tools. The result of the research shows that the system has complicated nonlinear phenomena; it is very suitable for confidential communication.
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References
Chua, L.O.: Memristor—the missing circuit element. IEEE Trans. Circuit Theory 18, 507–513 (1971)
Strukov, D.B., Snider, G.S., Stewart, D.R., Williams, R.S.: The missing memristor found. Nature 453(7191), 80–83 (2008)
Wei, W., Deng, N.: Memristor interpretations based on constitutive relations. J. Semicond. 38(10), 79–82 (2017)
Cao, J., Li, R.: Fixed-time synchronization of delayed memristor-based recurrent neural networks. Sci. Chin. Inf. Sci. 60(03), 108–122 (2017)
Ho, P.W.C., Almurib, H.A.F., Kumar, T.N.: Memristive SRAM cell of seven transistors and one memristor. J. Semicond. 37(10), 60–63 (2016)
Di Ventra, M., Pershin, Y.V., Chua, L.O.: Circuit elements with memory: memristors, memcapacitors, and meminductors. Proc. IEEE 97, 1717–1724 (2009)
Fouda, M.E., Radwan, A.G.: Meminductor response under periodic current excitations. Circuits Syst. Signal Process. 33(5), 1573–1583 (2014)
Biolek, D., Biolek, Z., Biolková, V.: PSPICE modeling of meminductor. Analog Integr. Circuits Signal Process. 66(1), 129–137 (2011)
Sah, M.P., Budhathoki, R.K., Yang, C., Kim, H.: Mutator-based meminductor emulator for circuit applications. Circuits Syst. Signal Process. 33(8), 2363–2383 (2014)
Ci-Yan, Z., Dong-Sheng, Y., Yan, L., Meng-Ke, C.: Composite behaviors of dual meminductor circuits. Chin. Phys. B 24(11) (2015). Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 2013QNB28)
Wang, S.F.: The gyrator for transforming nano memristor into meminductor. Circuit World 42(4), 197–200 (2016)
Yu, Q., Bao, B.C., Xu, Q., Chen, M., Hu, W.: Inductorless chaotic circuit based on active generalized memristors. Acta Phys. Sin. 64, 170503 (2015)
Bao, B.C., Liu, Z., Xu, J.P.: Steady periodic memristor oscillator with transient chaotic behaviours. Electron. Lett. 46, 237–238 (2010)
Iu, H.H.C., Yu, D.S., Fitch, A.L., et al.: Controlling chaos in a memristor based circuit using a Twin-T notch filter. IEEE Trans. Circuits Syst. I 58(6), 1337–1338 (2011)
EI-Sayed, A.M.A., Elsaid, A., Nour, H.M., Elsonbaty, A.: Dynamical behavior, chaos control and synchronization of a memristor-based ADVP circuit. Commun. Nonlinear Sci. Numer. Simul. 18, 148–170 (2013)
Fitch, A.L., Yu, D., Iu, H.H.: Hyperchaos in a memristor-based modified canonical chua’s circuit. Int. J. Bifurc. Chaos 22, 1250133–1250138 (2012)
Wang, X.Y., Iu, H.H.C., Yi, G., Liu, W.W.: Study on time domain characteristics of memristive RLC series circuits. Circuits Syst. Signal Process. 35(11), 4129–4138 (2016)
Riaza, R.: Second order mem-circuits. Int. J. Circuit Theory Appl. 43(11), 1719–1742 (2015)
Acknowledgements
The authors wish to thank the reviewers for their fruitful advice to improving this paper. The work was supported by youth special innovation project of guangdong province (Grant No 61176032).
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Tan, Z., Li, S. (2018). A Third-Order Meminductor Chaos Circuit with Complicated Dynamics. In: Li, K., Li, W., Chen, Z., Liu, Y. (eds) Computational Intelligence and Intelligent Systems. ISICA 2017. Communications in Computer and Information Science, vol 874. Springer, Singapore. https://doi.org/10.1007/978-981-13-1651-7_10
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DOI: https://doi.org/10.1007/978-981-13-1651-7_10
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