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M集混沌分形图谱的周期轨道轨迹

Periodic orbit and trajectory in M set chaos-fractal image
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摘要 分析了M集混沌分形图谱中不动点和周期轨道的稳定性条件,研究了混沌周期芽苞内部及不同周期芽苞之间的变化规律。借助由MATLAB工具开发的"M集图像周期轨道轨迹绘制"软件,绘制经典M集周期芽苞周期点的周期轨道轨迹图像。通过对周期轨道轨迹变化情况的分析,得到周期芽苞内部任意点均变现出其对应的周期性;不同周期芽苞之间的周期点其周期性相互影响,而又不失独立性。 Stability conditions for periodic orbits and fixed points in M set chaos-fractal image are analyzed.The characters of chaos periodic-buds and different periodic-buds are researched.With MATLAB tool,the software of "Periodic orbit and trajectory mapping of M set image" is developed to draw the periodic orbit and trajectory image of classic M set periodic points of periodic buds.By analyzing the changes of periodic orbit and trajectory,any point in the periodic-buds is manifested to its corresponding periodic;the periodic-points in the different periodic-buds are interaction,and keep its independence.
作者 田凯 刘鸿雁
出处 《辽宁科技大学学报》 CAS 2010年第5期469-473,共5页 Journal of University of Science and Technology Liaoning
关键词 混沌分形 图谱 MANDELBROT集 周期轨道 chaos-fractal image Mandelbrot set periodic orbit
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