四川大学学报（自然科学版）2024，Vol.61Issue(5)：25-30,6.DOI:10.19907/j.0490-6756.2024.051004
分数阶立方映射的混沌行为
Chaotic behavior of the fractional cubic map
摘要
Abstract
In this paper,the chaotic characteristics of fractional cubic map are investigated.Firstly,the frac-tional differential equation with piecewise constant elements is defined based on the cubic map,the fractional cubic map is obtained by using the discretization method.Then,by using the Lyapunov exponent and bifurca-tion diagram,it is revealed that the fractional cubic map enters chaos through the double-periodic bifurcation and its chaotic characteristics are more abundant than the traditional cubic map.Finally,a generalized delayed fractional cubic map is considered.It is shown that the chaotic bifurcation nodes of this map change with its pa-rameters.关键词
分数阶立方映射/混沌/时滞/Lyapunov指数Key words
Fractional cubic map/Chaos/Delay/Lyapunov exponent分类
数理科学引用本文复制引用
高仕龙,余文慧..分数阶立方映射的混沌行为[J].四川大学学报（自然科学版）,2024,61(5):25-30,6.基金项目
四川省科技厅应用基础研究项目(2018JY0256) （2018JY0256）
乐山师范学院校级重大项目(LZDP010) （LZDP010）
