From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor
Based on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover, the circuits of the generalized memristor and the jerk system a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/4/659 |
| _version_ | 1797434246015483904 |
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| author | Xianming Wu Shaobo He Weijie Tan Huihai Wang |
| author_facet | Xianming Wu Shaobo He Weijie Tan Huihai Wang |
| author_sort | Xianming Wu |
| collection | DOAJ |
| description | Based on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover, the circuits of the generalized memristor and the jerk system are physically implemented in the hardware level. The experimental results show that the memristor circuit can generate “8”-shaped pinched hysteresis loops, and the observed attractors match well with the numerical simulations results. In this paper, we summarize nonlinear systems with memristors in the references. It indicates that there are two symmetry methods to find a memristor model in nonlinear systems. However, some of them cannot be realized using the memristor devices, although a memristor model can be found. For example, the famous Lorenz system contains a memristor function, but it cannot be realized using the memristor device. The principles regarding whether nonlinear systems with a memristor function can be realized using a memristor device are discussed. |
| first_indexed | 2024-03-09T10:28:30Z |
| format | Article |
| id | doaj.art-bc66dae600ba4da3b9e05407b0af04ee |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:28:30Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bc66dae600ba4da3b9e05407b0af04ee2023-12-01T21:28:08ZengMDPI AGSymmetry2073-89942022-03-0114465910.3390/sym14040659From Memristor-Modeled Jerk System to the Nonlinear Systems with MemristorXianming Wu0Shaobo He1Weijie Tan2Huihai Wang3School of Mechanical & Electrical Engineering, Guizhou Normal University, Guiyang 550001, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaState Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaBased on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover, the circuits of the generalized memristor and the jerk system are physically implemented in the hardware level. The experimental results show that the memristor circuit can generate “8”-shaped pinched hysteresis loops, and the observed attractors match well with the numerical simulations results. In this paper, we summarize nonlinear systems with memristors in the references. It indicates that there are two symmetry methods to find a memristor model in nonlinear systems. However, some of them cannot be realized using the memristor devices, although a memristor model can be found. For example, the famous Lorenz system contains a memristor function, but it cannot be realized using the memristor device. The principles regarding whether nonlinear systems with a memristor function can be realized using a memristor device are discussed.https://www.mdpi.com/2073-8994/14/4/659jerk systemmemristorchaoscomplexitysymmetry |
| spellingShingle | Xianming Wu Shaobo He Weijie Tan Huihai Wang From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor Symmetry jerk system memristor chaos complexity symmetry |
| title | From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor |
| title_full | From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor |
| title_fullStr | From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor |
| title_full_unstemmed | From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor |
| title_short | From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor |
| title_sort | from memristor modeled jerk system to the nonlinear systems with memristor |
| topic | jerk system memristor chaos complexity symmetry |
| url | https://www.mdpi.com/2073-8994/14/4/659 |
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