基于混沌现象构建分形图形

Method for fractal drawing based on chaos phenomena

给出一种利用混沌行为生成分形图形的方法,该方法与一般的迭代函数系统方法不同。它没有直接使用几率这个参数,而是利用了混沌、混沌系统中自带的"随机性"。使用Matlab计算语言编写程序,结合实例列举几个算例,并计算所绘分形图形不同参数下的分形维数。结果表明,该方法富有多变性,可以得到很多有趣的图形,所得分形图形的艺术美感令人振奋。

A method for generation fractal with chaos behavior is presented. It is different from iterated function system. Here is not probability parameter in this method. It is by dint of the randomicity in chaos system. It makes the program with Matlab for several examples, and calculate fractal dimension. The result shows the method is very agile, by this method it can get interesting figures, the artistic esthetic sense of fractal is exciting.