摘要
本文提出了一种新的重整化群的逼近方法以求解一维单峰映象倍周期分岔序列的标度因子α和收敛常数δ。由于这一方法仅涉及到一个代数方程的求解,所以它与其他重整化群的方案比较要简洁。本文对映象在临界点展开的方次为Z=2,4,6,8和10的情况进行了数值计算。
A new renormalization group approach on calculating the scaling factor αand the convergence rate δ is proposed for period doubling sequences in one-dimensional unimodel mappings.It is a very simple method which needs only tosolve one equation compared with other renormalization shemes.Numericalresults are shown for the case of quadratic maximum as well as the maximumorder of z=4,6,8,10.
出处
《晓庄学院自然科学学报》
CAS
1991年第3期221-226,共6页
Journal of Natural Science of Hunan Normal University
关键词
分岔
标度性
普适性
重整化群
bifurcation
scaling property
universality
renormalization
unimodel mappings
