相空间重构优化研究

分析了传统相空间重构方法的不足,提出了相空间重构优化的标准和重构质量的评价方法.由于相空间重构过程中,重构参数的改变直接导致了吸引子的伸展和折叠行为.并形成相应的空间结构.通过无序度可以有效地刻画重构吸引子的不同性态,当无序度最小时可保证吸引子具有最规则的结构.重构质量的评价主要是通过检测吸引子拓扑结构的稳定性来实现,这比其他检验方法更具有客观性.仿真实验结果表明该方法的可行性.

Study on Phase Space Reconstruction Optimization

The limitation of the traditional phase space reconstruction method is analyzed and the optimization criterion is presented. Since the variation of the embedding parameters leads to the folding and stretching behavior of the attractor in the reconstruction, the corresponding space structure is formed finally. The disorder degree can be used to characterize the attractor in different states. And when the disorder degree is minimal, the attractor has the best regular structure. The reconstruction quality is evaluted by the stability of the attractor topological structure, thus it more objective than the other method. Simulation results show that the method is effective.