Abstract
To explore memcapacitors and their characteristics in chaotic oscillators, this paper proposes a logarithmic charge-controlled memcapacitor model. Using power-off plot analysis, we show that the memcapacitor possesses continuous non-volatile characteristic. Also, its dynamic route map shows the memcapacitor can rapidly switch from one memcapacitance to another by applying a single voltage pulse. Based on the memcapacitor model, we design a chaotic oscillator, which can exhibit some complex dynamic characteristics, such as chaos, hyperchaos and various coexisting attractors. The multistable coexisting oscillation of the system is further analyzed by using phase portraits, basins of attraction and double-bifurcation diagrams. Symmetric coexistence attractors with infinite homogeneity and heterogeneity are also found, which can evolve into hyperchaos under certain initial conditions. Finally, the chaotic oscillator is verified by numerical simulations and digital signal processor experiments.
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References
Yuan, F., Deng, Y., Li, Y.X., Wang, G.Y.: The amplitude, frequency and parameter space boosting in a memristor–meminductor-based circuit. Nonlinear Dyn. 56, 1–17 (2019)
Liu, Z., Wu, F., Alzahrani, F., Ma, J.: Control of multi-scroll attractors in a memristor-coupled resonator via time-delayed feedback. Mod. Phys. Lett. B 32, 1850399 (2018)
Wen, S.P., Wei, H.Q., Yang, Y., Guo, Z.Y., Zeng, Z.G.: Memristive LSTM network for sentiment analysis. IEEE Trans. Syst. Man Cyber. Syst. 49, 1–11 (2019)
Yu, D.S., Zheng, C.Y., Iu, H.H.C., Fernando, T., Chua, L.O.: A new circuit for emulating memristor using inductive coupling. IEEE Access 5, 1284–1295 (2017)
Ying, J.J., Wang, G.Y., Dong, Y.J., Yu, S.M.: Switching characteristics of a locally-active memristor with binary memories. Int. J. Bifurc. Chaos 29, 1930030 (2019)
Chua, L.O.: Five non-volatile memristor enigmas solved. Appl. Phys. A 124, 563–606 (2018)
Yuan, F., Wang, G.Y., Shen, Y.R.: Coexisting attractors in a memcapacitor-based chaotic oscillator. Nonlinear Dyn. 86, 1–14 (2016)
Zhou, Z., Zhu, W., Zhu, H., Yu, D.S.: Two-stable-oscillator circuit based on coupling memcapacitor simulator. J. Power Supply 16, 171–177 (2018)
Karthikeyan, R., Sajad, J., Anitha, K., Ashokkumar, S., Biniyam, A.: Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors. Circ. Syst. Signal Process. 7, 1–23 (2018)
Wang, G.Y., Yuan, F., Chen, G.R., Zhang, Y.: Coexisting multiple attractors and riddled basins of a memristive system. Chaos 28, 013125 (2018)
Bao, B.C., Li, Q.D., Wang, N., Xu, Q.: Multistability in Chua’s circuit with two stable node-foci. Chaos 26, 043111 (2016)
Yuan, F., Li, Y.X.: A chaotic circuit constructed by a memristor, a memcapacitor and a meminductor. Chaos 29, 101101 (2019)
Chen, M., Sun, M.X., Bao, B.C., Wu, H.G., Xu, Q., Wang, J.: Controlling extreme multistability of memristor emulator-based dynamical circuit in flux-charge domain. Nonlinear Dyn. 91, 1395–1412 (2018)
Suhas, K., John, P.S., Williams, R.S.: Chaotic dynamics in nanoscale NbO\(_2\) Mott memristors for analogue computing. Nature 548, 7667 (2017)
Zhou, W., Wang, G.Y., Shen, Y., Yuan, F., Yu, S.M.: Hidden coexisting attractors in a chaotic system without equilibrium point. Int. J. Bifurc. Chaos 28, 1830033 (2018)
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The work was supported by the National Natural Science Foundation of China under Grants 61771176 and 61801154.
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Zhou, W., Wang, G., Iu, H.H.C. et al. Complex dynamics of a non-volatile memcapacitor-aided hyperchaotic oscillator. Nonlinear Dyn 100, 3937–3957 (2020). https://doi.org/10.1007/s11071-020-05722-3
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DOI: https://doi.org/10.1007/s11071-020-05722-3