Abstract
The memristor shares the best features of both memory function intrinsically and nonlinear characteristics, which is seen as a potential candidate to reduce system power consumption and circuit size. In this paper, a novel four-dimensional hyper-chaos system containing a memristor has been put forward, and the hyper-chaos characteristic of the system was verified through the Lyapunov index calculation. Moreover, Standard nonlinear diagnostic tools such as dissipation and system stability, power spectrum, time domain spectrum and Poincare map are employed to investigate its complex dynamic characteristics. Subsequently the system is simulated by the SPICE circuit. A fully good agreement is observed between Spice simulation results and the theoretical analysis, which verify the feasibility of the memristive hyper-chaotic system.
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References
Bu, S., Wang, B.: Improving the security of chaotic encryption by using a simple modulating method. Chaos, Solitons Fractals 19(4), 919–924 (2004)
Gai, R., Xia, X., Chen, G.: Complex dynamics of systems under Delta-modulated feedback. IEEE Trans. Autom. Control 51(12), 1888–1902 (2006)
Pershin, Y., Di Ventra, M.: Experimental demonstration of associative memory with memristive neural networks. Neural Netw. 23(7), 881–886 (2010)
Shin, S., Kim, K., Kang, S.: Memristor applications for programmable analog ICs. IEEE Trans. Nanotechnol. 10(2), 266–274 (2011)
Witrisal, K.: Memristor-based stored-reference receiver-the UWB solution. Electron. Lett. 45(14), 713–714 (2009)
Itoh, M., Chua, L.: Memristor oscillators. Int. J. Bifurcat. Chaos 18(11), 3183–3206 (2008)
Muthuswamy, B., Kokate, P.: Memristor-based chaotic circuits. IETE Tech. Rev. 26(6), 415–426 (2009)
Bharathwaj, M., Chua, L.: Simplest chaotic circuit. Int. J. Bifurcat. Chaos 20(05), 1567–1580 (2010)
Wang, L., Li, H., Duan, S., Huang, T., Wang, H.: Pavlov associative memory in a memristive neural network and its circuit implementation. Neurocomputing 171, 23–29 (2016)
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Yan, D., Wang, L., Duan, S. (2018). Analysis and Circuit Implementation of a Novel Memristor Based Hyper-chaotic System. In: Huang, T., Lv, J., Sun, C., Tuzikov, A. (eds) Advances in Neural Networks – ISNN 2018. ISNN 2018. Lecture Notes in Computer Science(), vol 10878. Springer, Cham. https://doi.org/10.1007/978-3-319-92537-0_42
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DOI: https://doi.org/10.1007/978-3-319-92537-0_42
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