Fibonacci序列构造广义M J混沌分形图谱周期性的研究
摘 要
为更好的研究M J混沌分形图谱的周期性,首先利用旋转逃逸时间算法绘制了正整数阶复映射的广义M
关键词
Research on Periodicity of General M J Chaos fractal Images
() Abstract
For researching on periodicity of M J of Chaos fractal images, Firstly, a series positive integer ordered M J Chaos fractal images of the complex mapping are drawn with rotating escape time algorithm. Secondly, the distribution of general Mandelbrot set(M set) period buds are analyzed. The topological invariance on the periodic buds fibonacci sequences in the general M set are validated. With lots of computer mathematical experiments, In the end ,the correspondence is discovered between the M set parameter plane and Julia set images on the kinetic plane. And the formula on periodic orbits of general M J set is presented.
Keywords
Fibonacci sequences general M J set rotation escape time algorithm topological invariance periodic buds
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