Identification of chaos in fractional chaotic map

Advances in Difference Equations

article

Ran, Jie¹ 

[1] School of mathematics, Zunyi Normal College

关键词: Fractional chaotic map;    Chaos;    Bifurcation;    0–1 test;   

DOI  :  10.1186/s13662-020-02688-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper utilizes the 0–1 test algorithm to identify chaos in a fractional chaotic map. A fractional Burgers map is proposed by means of the Caputo-like delta difference operator. The bifurcation diagrams, phase trajectories and 0–1 test results of the fractional Burgers map are presented, respectively. This work extends the 0–1 test algorithm to the discrete fractional chaotic map.

【 授权许可】

CC BY