Characteristic Analysis of Chaotic System Based on Binary-valued and Tri-valued Memristor Models

WANG Xiaoyuan; TIAN Yuanze; CHENG Zhiqun

doi:10.11999/JEIT221083

Volume 45 Issue 12

Dec. 2023

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WANG Xiaoyuan, TIAN Yuanze, CHENG Zhiqun. Characteristic Analysis of Chaotic System Based on Binary-valued and Tri-valued Memristor Models[J]. Journal of Electronics & Information Technology, 2023, 45(12): 4556-4565. doi: 10.11999/JEIT221083

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WANG Xiaoyuan, TIAN Yuanze, CHENG Zhiqun. Characteristic Analysis of Chaotic System Based on Binary-valued and Tri-valued Memristor Models[J]. Journal of Electronics & Information Technology, 2023, 45(12): 4556-4565. doi: 10.11999/JEIT221083

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Characteristic Analysis of Chaotic System Based on Binary-valued and Tri-valued Memristor Models

doi: 10.11999/JEIT221083

School of Electronic Information, Hangzhou Dianzi University, Hangzhou 310000, China

Funds: The National Natural Science Foundation of China (61871429), The Natural Science Foundation of Zhejiang Province (LY18F010012), The Project of Ministry of Science and Technology of China (D20011)

Received Date: 2022-08-17
Rev Recd Date: 2023-04-28

Available Online: 2023-05-09

Publish Date: 2023-12-26

Abstract

Abstract

In recent years, nonlinear dynamics problems based on memristors have received much attention. In this paper, binary-valued and tri-valued memristors are used as examples to analyze the influence of binary-valued and multi-value memristors on the dynamic characteristics of chaotic systems. Firstly, the binary-valued memristor is introduced into the Chen system, and a four-dimensional Binary-valued Memristor-based Chaotic System(BMCS) is constructed. Secondly, a tri-valued memristor is used to replace the binary-valued memristor in the above system, and a four-dimensional Tri-valued Memristor-based Chaotic System(TMCS) is constructed. Through theoretical analysis and numerical simulation, the differences of dynamic characteristics between the two chaotic systems are compared from multiple perspectives, such as Lyapunov exponent, bifurcation diagram, equilibrium point of the system, system stability, sensitivity to initial value and system complexity analysis, etc. The results show that the two memristor-based chaotic systems have infinite equilibrium points, the attractors generated by both are hidden attractors, and both have transient chaotic phenomena, but the Tri-valued memristor chaotic system has Hyper-chaos, and has stronger initial value sensitivity than Binary-valued memristor chaotic system. Further, the Tri-valued memristor chaotic system has a larger parameter value interval than the Binary-valued memristor chaotic system to obtain chaotic sequences with sufficiently high complexity. Through analysis, it is concluded that the chaotic system based on Tri-valued memristor can generate more complex dynamic characteristics and more complex chaotic signal than the chaotic system based on binary-valued memristor.
- Binary-valued memristor,
- Tri-valued memristor,
- Hyper-chaos,
- Hidden attractors,
- System complexity

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References(20)

References

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