Caputo-Hadamard fractional chaotic maps

被引：5

作者：

Liu, Zeyu ^{[1
]}

Chen, Jiaxin ^{[1
]}

Zhou, Wenquan ^{[1
]}

机构：

[1] Northwest A&F Univ, Coll Sci, Yangling Dist 712100, Shaanxi, Peoples R China

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Caputo-Hadamard fractional difference; chaotic dynamics; chaotic map; DIFFERENTIAL-EQUATIONS; SYNCHRONIZATION; BIFURCATION; DYNAMICS; SYSTEM;

D O I：

10.1088/1402-4896/acd885

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we proposed a new fractional two dimensional trigonometric combined discrete chaotic mapping (2D-TCDCM) and a fractional 2-D Kawakami map within Caputo-Hadamard fractional difference. We observed the dynamic behaviours of the proposed Caputo-Hadamard fractional maps, including fractal graph, maximum lyapunov exponent, phase trajectory and randomness test. We illustrate the advantage of using Caputo-Hadamard fractional difference. As a conclusion, we get the condition of the proposed fractional map to behave chaotically with physics background.

引用

页数：10

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