拓扑熵与普适标度因子之间的多重分形关系

Multifractal relation between topological entropies and universal scaling factors

在一维混沌动力学中发现拓扑熵h(Q)与普适标度因子α(Q)之间存在一种多重分形关系.采用基于迭代函数系统的分形插值法,得到曲线h(Q)-α-1/｜Q｜(Q)的分形维数为1.65.

A multifractal relation betweentopological entropies h(Q) and universal scaling factorsα(Q) is found in one-dimensional chaotic dynamics.Thefractal dimension of curve h(Q)-α^(-1/｜Q｜)(Q) isobtained tobe 1.65 by the fractal interpolation based on the iterated fuction system.