IFS吸引子的计算机模拟

COMPUTER SIMULATION FOR THE ATTRACTOR OF THE ITERATIVE FUNCTION SYSTEMS

阐述了迭代函数系 (IteratedFunctionSystem ,用IFS表示 )理论及确定性算法。利用计算机对某一IFS的分形吸引子进行模拟 ,讨论了当参数变化时吸引子的变化规律 ;根据IFS的分维数定理 ,求出某些吸引子的分维数。

It expounds the iterative function systms (it is called IFS for short) theory and the deterministic algorithm. A series of the fractal IFS attractors are simulated by utilizing the computer. The changing regularity of the IFS attractors are discussed when the control parameters are changed, and the fractal dimension of some attractors are reached by the theorem about the fractal dimension of the IFS attractor. [