一维单峰幅度非对称映象的标度因子

Scaling Factors of One-Dimensional Unimodal Maps with an Asymmetry in the Amplitude

计算了z=4,6时的一维单峰幅度非对称映象的两个标度因子δ和a值。结果表明,它们都具有振荡行为,即交替地收敛到各自的两个常数c_1、c_2和d_1、d_2。对于固定的z值,c_1·c_2=δ~2,d_1·d_2=a^2。在聚点a~*处有c_1=c_2=δ,d_1=d_2=a。这里δ,a及a~*是一维单峰对称映象中相同z值下的标度因子值和聚点值。

The scaling factors δ and x of one-dimensional unimodal maps with an asymmetry in the amplitude have been calculated at z=4,6.It has been shown that the sealing factors both present an oscillatory behavior, i.e.alternately converge to two constants c_1,c_2 and d_1,d_2.Finds out that c_1·c_2=δ_2 and d_1·d_2=x_2 for fixed.z.There are c_1=c_2=δ and d_1=d_2=x at the accumulation point a.