利用一维资料重现n维系统吸引子结构的试验
THE EXPERIMENTS OF REPRODUCING n-DIMENSIONAL ABSTRACTOR STRUCTURE OF ATMOSPHERIC SYSTEM BY USING ONE-DIMENSIONAL DATA
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摘要: 以Rossler系统和Lorenz系统为例,研究了利用单变量时间序列来重现n维动力系统吸引子的柘朴结构。研究结果表明,在一维时间序列重建的相空间里,存在着若干个主矢量,这些主矢量可以从某一侧面揭示出系统吸引子的柘朴结构。Abstract: Rossler system and Lorenz system are taken as examples to study how to use the reproducing technique of main vectors of phase space and the retrieving technique of main vectors of phase space, which are put forward in this paper, to reconstruct the topological structure of dynamic system abstractor.
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Key words:
- Phase space /
- Main vector /
- Reproducing /
- Topological structure
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