A Multi-Stable Memristor and its Application in a Neural Network

被引：199

作者：

Lin, Hairong ^{[1
]}

Wang, Chunhua ^{[1
]}

Hong, Qinghui ^{[1
]}

Sun, Yichuang ^{[2
]}

机构：

[1] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha 410082, Hunan, Peoples R China

[2] Univ Hertfordshire, Sch Engn & Comp Sci, Hatfield AL10 9AB, Herts, England

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2020年 / 67卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Memristors; Mathematical model; Integrated circuit modeling; Hysteresis; Neural networks; Numerical simulation; Multistability; memristor; circuit theory; neural networks; nonlinear circuits;

D O I：

10.1109/TCSII.2020.3000492

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Nowadays, there is a lot of study on memristor-based systems with multistability. However, there is no study on memristor with multistability. This brief constructs a mathematical memristor model with multistability. The origin of the multi-stable dynamics is revealed using standard nonlinear theory as well as circuit and system theory. Moreover, the multi-stable memristor is applied to simulate a synaptic connection in a Hopfield neural network. The memristive neural network successfully generates infinitely many coexisting chaotic attractors unobserved in previous Hopfield-type neural networks. The results are also confirmed in analog circuits based on commercially available electronic elements.

引用

页码：3472 / 3476

页数：5

共 23 条

[1] The First Ever Real Bistable Memristors-Part I: Theoretical Insights on Local Fading Memory [J].

Ascoli, Alon ;

Tetzlaff, Ronald ;

Chua, Leon O. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2016, 63 (12) :1091-1095

[2] Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system [J].

Bao, Han ;

Chen, Mo ;

Wu, HuaGan ;

Bao, BoCheng .

SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2020, 63 (04) :603-613

[3] Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction [J].

Bao, Han ;

Hu, Aihuang ;

Liu, Wenbo ;

Bao, Bocheng .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (02) :502-511

[4] Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria [J].

Bao, Han ;

Wang, Ning ;

Bao, Bocheng ;

Chen, Mo ;

Jin, Peipei ;

Wang, Guangyi .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 57 :264-275

[5] Periodically varied initial offset boosting behaviors in a memristive system with cosine memductance [J].

Chen, Mo ;

Ren, Xue ;

Wu, Hua-gan ;

Xu, Quan ;

Bao, Bo-cheng .

FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2019, 20 (12) :1706-1716

[6] FluxCharge Analysis of Two-Memristor-Based Chua<sc>s</sc> Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability [J].

Chen, Mo ;

Sun, Mengxia ;

Bao, Han ;

Hu, Yihua ;

Bao, Bocheng .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2020, 67 (03) :2197-2206

[7] Everything You Wish to Know About Memristors But Are Afraid to Ask [J].

Chua, Leon .

RADIOENGINEERING, 2015, 24 (02) :319-368

[8] If it's pinched it's a memristor [J].

Chua, Leon .

SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 2014, 29 (10)

[9] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

[10] Memristor Circuits: Bifurcations without Parameters [J].

Corinto, Fernando ;

Forti, Mauro .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2017, 64 (06) :1540-1551

← 1 2 3 →