Mandelbrot集高周期混沌吸引子定位算法研究

研究Mandelbrot集混沌分形图谱混沌吸引子定位算法.设计高周期混沌吸引子的定位算法,该算法将复平面区域网格化,根据混沌吸引子模值局部最小的特性,确定其坐标位置.针对实轴上混沌吸引子分布密集难以处理的情况,算法将复平面划分为实轴上侧、实轴和实轴下侧三个部分,实轴上的混沌吸引子采用单独的遍历方法进行查找.分析定位算法...

Research high-period chaos-attractors locating algorithm in Mandelbrot set

This paper researched the chaos-attractors locating algorithm of Mandelbrot set fractal patterns. According to revelation escape time algorithm, designed high-cycle locating algorithm for chaos-attractors, divided this locating algorithm to the complex plane into many regional grids. According to the local chaos-attractors modulus of the smallest features, locating algorithm divided coordinate plane into three regions: the real axis region, the top side of real axis and the lower side of real axis, the real axis of the chaotic attractor using a separate algorithm. Analyaed the efficiency of locating algorithm. By programming the system, and gave a part of some cycles chaotic attractor results. The experimental results show that the algorithm can quickly and accurately calculate the position coordinates of chaos-attractors.