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Research high-period chaos-attractors locating algorithm in Mandelbrot set
Mandelbrot集高周期混沌吸引子定位算法研究

Keywords: Chaos-fractal,Mandelbrot Set,Chaos-attractors,Locating Algorithm
混沌分形
,Mandelbrot集,混沌吸引子,定位算法

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Abstract:

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.

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