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
收藏
页码：5889 / 5904
页数：16
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