Discrete Second-Order Memristor and Its Application to Chaotic Map

被引:51
作者
Mou, Jun [1 ]
Han, Zhitang [1 ]
Cao, Yinghong [1 ]
Banerjee, Santo [2 ]
机构
[1] Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China
[2] Dept Math Sci, Giuseppe Luigi Lagrange, I-10129 Turin, Italy
基金
中国国家自然科学基金;
关键词
Memristors; Chaotic communication; Mathematical models; Behavioral sciences; Analog circuits; Couplings; Complexity theory; Second-order memristors; analog circuit; chaotic map; DSP implementation; SYSTEM;
D O I
10.1109/TCSII.2023.3348998
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
In recent years discrete memristors have attracted the attention of researchers, but the current research stays on discrete first-order memristors, and there is little research on discrete second-order memristors. This brief designs a discrete second-order memristor and gives the analog circuit, which provides a new way for the design of a discrete memristor model. And the new memristor model is coupled with a one-dimensional sine map to obtain a three-dimensional chaotic map. The chaotic properties of one-dimensional sine map are improved. The dynamical analysis reveals that the new map has rich dynamical behaviors and high complexity. Finally, the map is verified to be realizable by DSP implementation, which provides a reference for the application of the map in academic and industrial fields.
引用
收藏
页码:2824 / 2828
页数:5
相关论文
共 25 条
[1]  
[Anonymous], 2021, Circuits Syst. I, Reg. Papers, V68, P4534
[2]   Chaotic bursting in memristive diode bridge-coupled Sallen-Key lowpass filter [J].
Bao, Bo-Cheng ;
Wu, Pingye ;
Bao, Han ;
Chen, Mo ;
Xu, Quan .
ELECTRONICS LETTERS, 2017, 53 (16) :1104-1105
[3]   A Simple Nonautonomous Hidden Chaotic System with a Switchable Stable Node-Focus [J].
Bao, Bocheng ;
Luo, Jiaoyan ;
Bao, Han ;
Chen, Chengjie ;
Wu Huagan ;
Quan, Xu .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (12)
[4]   A fully integrated reprogrammable memristor-CMOS system for efficient multiply-accumulate operations [J].
Cai, Fuxi ;
Correll, Justin M. ;
Lee, Seung Hwan ;
Lim, Yong ;
Bothra, Vishishtha ;
Zhang, Zhengya ;
Flynn, Michael P. ;
Lu, Wei D. .
NATURE ELECTRONICS, 2019, 2 (07) :290-299
[5]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[6]   DSP-Based Implementation of Fuzzy Output Tracking Control for a Boost Converter [J].
El Beid, Said ;
Doubabi, Said .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2014, 61 (01) :196-209
[7]   An effective multiple-image encryption algorithm based on 3D cube and hyperchaotic map [J].
Gao, Xinyu ;
Mou, Jun ;
Banerjee, Santo ;
Cao, Yinghong ;
Xiong, Li ;
Chen, Xiaoyang .
JOURNAL OF KING SAUD UNIVERSITY-COMPUTER AND INFORMATION SCIENCES, 2022, 34 (04) :1535-1551
[8]   A conditional symmetric memristive system with amplitude and frequency control [J].
Gu, Zhenyu ;
Li, Chunbiao ;
Pei, Xiaofang ;
Tao, Changyuan ;
Liu, Zuohua .
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2020, 229 (6-7) :1007-1019
[9]   Not in Name Alone: A Memristive Memory Processing Unit for Real In-Memory Processing [J].
Haj-Ali, Ameer ;
Ben-Hur, Rotem ;
Wald, Nimrod ;
Ronen, Ronny ;
Kvatinsky, Shahar .
IEEE MICRO, 2018, 38 (05) :13-21
[10]   Experimental Demonstration of a Second-Order Memristor and Its Ability to Biorealistically Implement Synaptic Plasticity [J].
Kim, Sungho ;
Du, Chao ;
Sheridan, Patrick ;
Ma, Wen ;
Choi, ShinHyun ;
Lu, Wei D. .
NANO LETTERS, 2015, 15 (03) :2203-2211