Asymmetric Memristor-induced Attractor Asymmetric Evolution and Its Mechanism

WU Huagan; ZHOU Jie; CHEN Shengyao; CHEN Mo; XU Quan

doi:10.11999/JEIT210307

Volume 44 Issue 6

Jun. 2022

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WU Huagan, ZHOU Jie, CHEN Shengyao, CHEN Mo, XU Quan. Asymmetric Memristor-induced Attractor Asymmetric Evolution and Its Mechanism[J]. Journal of Electronics & Information Technology, 2022, 44(6): 2101-2109. doi: 10.11999/JEIT210307

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WU Huagan, ZHOU Jie, CHEN Shengyao, CHEN Mo, XU Quan. Asymmetric Memristor-induced Attractor Asymmetric Evolution and Its Mechanism[J]. Journal of Electronics & Information Technology, 2022, 44(6): 2101-2109. doi: 10.11999/JEIT210307

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Asymmetric Memristor-induced Attractor Asymmetric Evolution and Its Mechanism

doi: 10.11999/JEIT210307

1.
School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
2.
School of Electronic and Optical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China

Funds: The National Natural Science Foundations of China (61801054, 51607013), The Postgraduate Education Reform Projects of Jiangsu Province (KYCX20_2550)

Received Date: 2021-04-13
Rev Recd Date: 2021-06-30

Available Online: 2021-07-08

Publish Date: 2022-06-21

Abstract

Abstract

The pinched hysteresis loop is the key basis to judge whether a physical device or a mathematical model is a memristor, and its symmetry property is also one of the important characteristics of a memristor. In this paper, an active asymmetric memristive diode-bridge emulator is proposed, whose asymmetry can be controlled by changing the number of parallel diodes in the diode-bridge. Firstly, the fingerprint of this asymmetric memristor emulator is tested, and the effects of excitation frequency and symmetry control parameter on the asymmetry of the pinched hysteresis loop are discussed. Thereafter, by coupling the asymmetric memristor into a Sallen-Key high-pass filter, an inductor-free memristive Chua’s circuit is constructed. The corresponding dimensionless system is built, upon which the asymmetric evolution feature of system attractor is uncovered. Based on the equilibrium stability analysis, bifurcation analysis and multiple attractors distribution in state initial space, the mechanism of attractor asymmetric evolution is clarified. The results demonstrated that, affected by the asymmetric memristor, two unstable saddle-foci of the inductor-free memristive Chua’s circuit are out of balance, resulting in the generations of asymmetric coexistence bifurcation and multi-stable mode. Finally, the correctness of theoretical analysis and numerical simulation are verified by hardware circuit experiment.
- Memristor,
- Asymmetric coexisting bifurcation,
- Multi-stable mode,
- Hardware experiment

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References(26)

References

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