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
收藏
页数：10
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