EDCA的分数维数与信息维数

THE FRACTAL AND INFORMATION DIMENSIONS OF EDCA

将EDCA的位形投影成平面单位面积区域上的点,计算了EDCA四类演化行为规则的分数维数与信息维数。结果表明,当格子数目足够大时,边界类型对维数影响很小;对具有第一类型演化行为的规则,它的维数随格子数目的增大而趋于零;第二类型的规则,它的维数随格子变化而趋于常数一即分形结构;对于第三、第四类型的规则,维数随格子的变化而无规地变化。

In the paper, by mapping EDCA configurations into points in an unit erea on plane, it is calculated fractal and imformation dimensions for EDCA rules of four kinds of erolution behaviors.From calculated results, it is known that the sorts of boundary conditions affect dimensions only a little when EDCA lattice numbers are large enough and that dimensions for the first kind of rules decreace to zero as lattice numbers increase ; for the second rules approach a constant-fractal form; for the third and fourth rules randoraly change as lattice number increase.