A Two-Dimensional Discrete Memristor Map: Analysis and Implementation

被引：2

作者：

Xiang, Qian ^{[1
]}

Shen, Yunzhu ^{[2
]}

Peng, Shuangshuang ^{[1
]}

Liu, Mengqiang ^{[1
]}

机构：

[1] Fuyang Normal Univ, Sch Phys & Elect Engn, Fuyang 236037, Anhui, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan 550001, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 10期

关键词：

Chaotic system; discrete memristor; coexisting attractors; hyperchaotic attractor; NEURAL-NETWORKS; SYNCHRONIZATION; ATTRACTORS; DESIGN; SYSTEM;

D O I：

10.1142/S0218127424501244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a novel two-dimensional discrete memristor map that is based on a discrete memristor model and a sine-arcsine one-dimensional map. First, an analysis is conducted on the memristor model to understand its characteristics. Then, the model is coupled with the sine-arcsine one-dimensional map to achieve the two-dimensional discrete memristor map. Our investigation reveals the presence of coexisting attractors and hyperchaotic attractors as the bifurcation parameters vary. Numerical simulations show that the discrete memristors effectively enhance the complexity of chaos in the sine-arcsine map. Furthermore, a digital circuit is designed to experimentally verify the new chaotic system. The research results can enrich the theoretical analysis and circuit implementation of chaos.

引用

页数：14

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