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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
【摘要】 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c1、c2和d1、d2。对于固定的z值,c1·c2=δ2,d1·d2=a2。在聚点a*处有c1=c2=δ,d1=d2=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。
【Abstract】 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 c1,c2 and d1,d2.Finds out that c1·c2=δ2 and d1·d2=x2 for fixed.z.There are c1=c2=δ and d1=d2=x at the accumulation point a.
【关键词】 分叉现象;
标度因子;
分岔点;
聚点;
超稳定点;
倍周期分岔序列;
【Key words】 bifurcation/scaling factor; bifurcation point; accumulation point; superstable point; period-doubling bifurcation sequence;
【Key words】 bifurcation/scaling factor; bifurcation point; accumulation point; superstable point; period-doubling bifurcation sequence;
- 【文献出处】 大连铁道学院学报 ,Journal of Dalian Railway Institute , 编辑部邮箱 ,1990年04期
- 【被引频次】2
- 【下载频次】7