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Article

Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains

by
Jiajie Ying
,
Yan Liang
,
Fupeng Li
,
Guangyi Wang
* and
Yiran Shen
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Electronics 2022, 11(4), 665; https://doi.org/10.3390/electronics11040665
Submission received: 25 January 2022 / Revised: 17 February 2022 / Accepted: 18 February 2022 / Published: 21 February 2022
(This article belongs to the Special Issue Memristive Devices and Systems: Modelling, Properties & Applications)
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Abstract

This paper proposes a modified Chua Corsage Memristor endowed with two symmetrical locally active domains. Under the DC bias voltage in the locally active domains, the memristor with an inductor can construct a second-order circuit to generate periodic oscillation. Based on the theories of the edge of chaos and local activity, the oscillation mechanism of the symmetrical periodic oscillations of the circuit is revealed. The third-order memristor circuit is constructed by adding a passive capacitor in parallel with the memristor in the second-order circuit, where symmetrical periodic oscillations and symmetrical chaos emerge either on or near the edge of chaos domains. The oscillation mechanisms of the memristor-based circuits are analyzed via Domains distribution maps, which include the division of locally passive domains, locally active domains, and the edge of chaos domains. Finally, the symmetrical dynamic characteristics are investigated via theory and simulations, including Lyapunov exponents, bifurcation diagrams, and dynamic maps.
Keywords: memristor; chaos; local activity; the edge of chaos memristor; chaos; local activity; the edge of chaos

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MDPI and ACS Style

Ying, J.; Liang, Y.; Li, F.; Wang, G.; Shen, Y. Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains. Electronics 2022, 11, 665. https://doi.org/10.3390/electronics11040665

AMA Style

Ying J, Liang Y, Li F, Wang G, Shen Y. Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains. Electronics. 2022; 11(4):665. https://doi.org/10.3390/electronics11040665

Chicago/Turabian Style

Ying, Jiajie, Yan Liang, Fupeng Li, Guangyi Wang, and Yiran Shen. 2022. "Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains" Electronics 11, no. 4: 665. https://doi.org/10.3390/electronics11040665

APA Style

Ying, J., Liang, Y., Li, F., Wang, G., & Shen, Y. (2022). Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains. Electronics, 11(4), 665. https://doi.org/10.3390/electronics11040665

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