On fractional coupled logistic maps: chaos analysis and fractal control

被引：13

作者：

Wang, Yupin ^{[1
]}

Liu, Shutang ^{[2
]}

Khan, Aziz ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Shandong, Peoples R China

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 06期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Caputo delta h-difference; Coupled logistic map; Chaotic attractor; Fractional Julia set; Fractal synchronization; JULIA SET; SYNCHRONIZATION;

D O I：

10.1007/s11071-022-08141-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper investigates chaotic and fractal dynamics of fractional coupled logistic maps constructed based on the Caputo fractional h-difference. The chaos of this map, affected by the memory and scale derived from the fractional operator, is examined through phase portrait, "0-1 " test and Lyapunov exponent. Fractal synchronization is achieved by designing a coupled controller between Julia sets generated from two fractional coupled maps with different structures. Numerical simulations are presented to validate the main findings.

引用

页码：5889 / 5904

页数：16

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