2015 Taiwan and Japan Conference on Circuits and Systems
Shikoku University Plaza, Tokushima, Japan. August 19-21, 2015

Synchronization Rate of LC Resonatorin Modified Shinriki-Mori Circuit
Tatsuki Sobue1 , Yasuteru Hosokawa2 , Yoko Uwate1 , Yoshifumi Nishio1(Tokushima University1 , Shikoku University2 )S UMMARYIn coupled chaotic circuits, many interesting phenomena, for instance, chaotic synchronization phenomena, intermittencychaos, spatio-temporal chaos and so on are observed. Therefore, there are many studies about coupled chaotic circuits. In almost
these studies, some of famous chaotic circuits have been applied. One of famous chaotic circuits is Shinriki-Mori circuit [1][2]. There are many investigation of coupled chaotic circuits using Shinriki-Mori circuit [4] [5].
In our previous study, a modified Shinriki-Mori circuit [6] has been proposed. Shinriki-Mori circuit consists of a LC resonator,
by-directional diodes and the others. In the proposed circuit, a LC resonator and by-directional diodes included in the original
circuit are copied and added to the original circuit. By applying different parameters of LC resonators, two similar chaotic
waveforms which are observed as voltages of LR resonators are obtained. Additionally, these waveforms are influenced bychanging circuit parameters.
In this study, two modified Shinriki-Mori circuits coupled by a resistor is investigated. Figure 1 shows the modified ShinrikiMori circuit. Especially, relationships among LC resonators are paid attention. Figure 2 shows one of computer simulation
result. In this result, the synchronous rate of Circuit-A are decreasing by increasing the coupling strength. On the other hand,the synchronous rate of Circuit-B are increasing by increasing the coupling strength.
In the future works, the case of increasing combination will be investigated. In addition, we will study in detail thesynchronization rate of between circuits.

Circuit-A-G ai
G A1f( gA1 , vA3 - vA1) v A1

A1

C A1

L A1f( gA2 , vA3 - vA2)

v

A3i
G A2v

A2A2

C A2

L A2

Gi
G B1f( gB1 , vB3 - vB1) v B1-G bv

C B1

L B1f( gB2 , vB3 - vB2)

B3i
G B2Circuit-BB1v

B2

B2

C B2

L B2

Figure 1. Modified Shinriki-Mori circuit.

Figure 2. Synchronous rate of Circuit-A and Circuit-B.

R EFERENCES[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] N. Inaba, T. Saito and S. Mori, “Chaotic Phenomena in a Circuit with a Negative Resistance and an Ideal Switch of Diodes,” IEICE Trans., vol. E-70,
pp. 744–754, 1987.
[3] H. Sekiya, S. Moro, S. Mori, and I. Sasase, “Synchronization Phenomena on Four Simple Chaotic Oscillators Full-Coupled by Capacitors,” IEICE Trans.
Fundamentals, vol. J82-A, No. 3, pp.375–385, 1999.
[4] M. Miyamura, Y. Nishio and A. Ushida, “Clustering in Globally Coupled System of Chaotic Circuits,” IEEE Proc. ISCAS’02, vol. 3, pp. 57–60, 2002.
[5] L. M. Pecora and T. L. Carrol, “Synchronization in Chaotic Systems,” Physical Review Letters, vol. 64, pp. 821–824, 1990.
[6] T. Sobue, Y. Hosokawa and Y. Nishio, “Coupled Chaotic System Based on Shinriki-Mori Circuit,” RISP Proc. NCSP’14, pp. 529–532, 2014.

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