平成 29 年度電気関係学会四国支部連合大会 講演論文集 (2017 愛媛大学)
2017 SHIKOKU-SECTION JOINT CONVENTION RECORD OF THE INSTITUTES OF ELECTRICAL AND RELATED ENGINEERS (EHIME)

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Synchronization of Switching Phenomena
in Two Chaotic Circuits
Coupled with Memristors and a Resister
Kana KOBAYASHI1 ,Yasuteru HOSOKAWA2 , Yoko UWATE1 ,( Tokushima University, 2 Shikoku University)

Yoshifumi NISHIO1

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1. Introduction
In the Mori-Shinriki circuit [1] containing multiple
attractors, switching phenomena of attractors are observed by tuning up parameters. On the other hand,in recent years, a memristor is remarked as a new element. The memristor was predicted the existence by
Chua in 1971 [2]. The memristor was implemented as asemiconductor element by Hewlett-Packard researchers
in 2008 [3]. The memristor is used in many studies ofchaos circuit. For example, the memristor was applied
to coupling elements by Gambuzza et al. [4].
In this study, switching phenomenon was confirmed
in chaotic circuits coupled with two memristors and aresistor. We compared the case where memristor andresistance were used for the coupling element and thecase where only resistance was used. We investigate
influences by the memristor to switching phenomena.

2. System Model(1)

Figure 1 shows a system model. It is a model combining the nodes of the negative resistance of two MoriShinriki circuits with a resister and two memristor coupled in antiparallel.

(2)
Figure 2: Synchronization of switching phenomena for parameter missmatch 2.0%. λ = 350.
(1)Time series waveform, (2)Attractor.

Figure 1: System model.

Reference

3. Simulation Results
In this study, simulations based on normalized circuit equations was carried out. Figure 2 shows one ofthe simulation results. The strange parameter for twocircuits is λ.
A synchronization of switching phenomena can beobserved [5]. From Fig. 2, it can be seen that memristor aﬀects the synchronization of the switching phenomenon.

[1] M. Shinriki, M. Yamamoto and S. Mori, “Multimode Oscillations in a Modified van der Pol Oscillator containing
a positive nonlinear conductance,” Proc. IEEE, vol. 69,no. 3, pp. 394–395, 1981.
[2] L. O. Chua, “Memristor - The Missing Circuit Element,”
IEEE Transactions on Circuit Theory, vol. CT-18, no. 5,pp. 507–519, 1971.
[3] D. B. Strukov, G. S. Snider, D. R. Stewart andR. S. Williams, “The missing memristor found,” Nature,
vol. 453, pp. 80–83, 2008.

4. Conclusions
In this study, switching phenomenon was confirmed
in chaotic circuits coupled with two memristors and aresistor. We compared the case where memristor andresistance were used for the coupling element and thecase where only resistance was used. We investigatedinfluences by the memristor to switching phenomena,
we clarified that memristor influences synchronization
range of the switching phenomenon. In our futurework, the mechanism of the memristor and switching
phenomena will be investigated.

[4] L. V. Gambuzza, A. Buscarino, L. Fortuna, M. Frasca,“Memristor-Based Adaptive Coupling for Consensus andSynchronization,” IEEE Transactions on Circuits andSystems I: Regular Papers, vol. 62, no. 4, pp. 1175–1184,
2015.
[5] T. Nishimoto, Y. Hosokawa, Y. Nishio, “Synchronizationof Switching Phenomena in a Coupled Chaotic Systemwith Inaba Circuit,” International Workshop on Nonlinear Circuits, Communications and Signal Processing(NCSP’13), pp. 133–136, 2013.

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