分数阶立方映射的混沌行为OA北大核心CSTPCD

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.