Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains
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...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-02-01
|
| Series: | Electronics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-9292/11/4/665 |
| _version_ | 1797480833378942976 |
|---|---|
| author | Jiajie Ying Yan Liang Fupeng Li Guangyi Wang Yiran Shen |
| author_facet | Jiajie Ying Yan Liang Fupeng Li Guangyi Wang Yiran Shen |
| author_sort | Jiajie Ying |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T22:06:50Z |
| format | Article |
| id | doaj.art-aedabd3162774fadabbd541924f8df03 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T22:06:50Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-aedabd3162774fadabbd541924f8df032023-11-23T19:41:00ZengMDPI AGElectronics2079-92922022-02-0111466510.3390/electronics11040665Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active DomainsJiajie Ying0Yan Liang1Fupeng Li2Guangyi Wang3Yiran Shen4Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaThis 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.https://www.mdpi.com/2079-9292/11/4/665memristorchaoslocal activitythe edge of chaos |
| spellingShingle | Jiajie Ying Yan Liang Fupeng Li Guangyi Wang Yiran Shen Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains Electronics memristor chaos local activity the edge of chaos |
| title | Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains |
| title_full | Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains |
| title_fullStr | Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains |
| title_full_unstemmed | Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains |
| title_short | Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains |
| title_sort | complex oscillations of chua corsage memristor with two symmetrical locally active domains |
| topic | memristor chaos local activity the edge of chaos |
| url | https://www.mdpi.com/2079-9292/11/4/665 |
| work_keys_str_mv | AT jiajieying complexoscillationsofchuacorsagememristorwithtwosymmetricallocallyactivedomains AT yanliang complexoscillationsofchuacorsagememristorwithtwosymmetricallocallyactivedomains AT fupengli complexoscillationsofchuacorsagememristorwithtwosymmetricallocallyactivedomains AT guangyiwang complexoscillationsofchuacorsagememristorwithtwosymmetricallocallyactivedomains AT yiranshen complexoscillationsofchuacorsagememristorwithtwosymmetricallocallyactivedomains |