中文说明:应用背景可用于混沌分形系统的分析中,用Takens定理重构状态空间方法就是应用了延迟坐标法,该方法的关键思想就是延时再造,通过引入延迟时间和嵌入维数,把一维时间序列改造成多维相空间以重建原动力系统。关键技术应用相关技术求混沌系统的时间延迟,在选择时,C作为一个特定的阀值,大量研究表明,当自相关函数C的值第一次为1/2、或第一次为0、或C的第一个拐点对应的时间就是相空间重构的时间延迟。还有C-C方法求时延。
English Description:
Application backgroundIt can be used in the analysis of chaotic fractal systems. The method of reconstructing the state space with Takens theorem is applied to the delay coordinate method. The key idea of this method is to reconstruct the time series by introducing delay time and embedding dimension.Key TechnologyTechnical application for chaotic systems with time delay, in the choice of C as a specific threshold, a large number of studies show that when the self correlation function C value for the first time for the first inflection point of 1 / 2, or the first time 0, or C corresponds to the time is the phase space reconstruction of the time delay. And C-C method for delay.