TWO DISCRETE MEMRISTIVE CHAOTIC MAPS AND ITS DSP IMPLEMENTATION

被引：24

作者：

Han, Xintong ^{[1
,2
]}

Mou, Jun ^{[1
,2
]}

Lu, Jinshi ^{[1
]}

Banerjee, Santo ^{[3
]}

Cao, Yinghong ^{[1
,2
]}

机构：

[1] Dalian Polytech Univ, Sch Mech Engn & Automat, Dalian 116034, Peoples R China

[2] Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China

[3] Politecn Torino, Dept Math Sci, Giuseppe Luigi Lagrange, Corso Duca Abruzzi 24, Turin, Italy

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 06期

关键词：

Chaotic Map; Memristor Model; Infinite Attractors Coexistence; Hardware Implementation;

D O I：

10.1142/S0218348X23401047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a discrete model of memristor is adopted and analyzed. The new discrete maps are built by introducing this discrete memristor model into a two-dimensional discrete map. Interestingly, introducing this discrete memristor model from different locations can lead to two new chaotic map models. The dynamical behaviors of the two maps are studied by means of bifurcation diagrams, phase diagrams and Lyapunov exponential spectra (LEs). The simulation results show that both chaotic systems have rich dynamical behaviors. In addition, they are experimentally found to have multi-stable properties, where the M-XM map has infinite attractors coexistence. Finally, we complete the hardware implementation of the two maps based on Digital Signal Processing (DSP) platform for the application of discrete chaotic systems.

引用

页数：12

共 39 条

[1] A Polynomial Chaos-based Approach to Quantify Uncertainties of Correlated Renewable Energy Sources in Voltage Regulation [J].

Abdelmalak, Michael ;

Benidris, Mohammed .

IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 2021, 57 (03) :2089-2097

[2] Deterministic modeling of the diffusive memristor [J].

Akther, A. ;

Ushakov, Y. ;

Balanov, A. G. ;

Savel'ev, S. E. .

CHAOS, 2021, 31 (07)

[3] Bringing Order from the Chaos of Names, Texts and Nature: Collection and Translation of Chinese Materia Medica in Nineteenth-Century Britain [J].

An, Sooyoung .

FRONTIERS OF HISTORY IN CHINA, 2020, 15 (01) :34-65

[4] Initial State Dependent Dynamical Behaviors in a Memristor Based Chaotic Circuit [J].

Bao Bo-Cheng ;

Xu Jian-Ping ;

Liu Zhong .

CHINESE PHYSICS LETTERS, 2010, 27 (07)

[5] Transient chaos in smooth memristor oscillator [J].

Bao Bo-Cheng ;

Liu Zhong ;

Xu Jian-Ping .

CHINESE PHYSICS B, 2010, 19 (03)

[6] Memristor-Coupled Logistic Hyperchaotic Map [J].

Bao, Bocheng ;

Rong, Kang ;

Li, Houzhen ;

Li, Kexin ;

Hua, Zhongyun ;

Zhang, Xi .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (08) :2992-2996

[7] Multiply accumulate operations in memristor crossbar arrays for analog computing [J].

Chen, Jia ;

Li, Jiancong ;

Li, Yi ;

Miao, Xiangshui .

JOURNAL OF SEMICONDUCTORS, 2021, 42 (01)

[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] A new set of hyperchaotic maps based on modulation and coupling [J].

Han, Xintong ;

Mou, Jun ;

Jahanshahi, Hadi ;

Cao, Yinghong ;

Bu, Fanling .

EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (04)

← 1 2 3 4 →