时间延迟在随机系统中的作用

摘要

A prototype model is proposed and the important roles of the time delay in the dynamical systems are clarified in this paper. When the time delay regulated by the output signal is zero, only the power spectrum in the low frequency is sensitive to the change of time delay regulated by the input signal. To the input signal, the height and the number of the main peak increase with the increase of the time delay. While to the output signal, the number of the peak increases but there is no change in the height of the main peak. However, when the time delay of the output signal regulated by the input signal is zero, the output signal shows more complex action than the input signal with the change of the time delay of the output signal regulated by itself.%文中通过一个具体的模型,阐明了时间延迟在一些动力学系统中的重要作用.当输出信号由自身调控的延迟时间为零时,只有低频部分的功率谱对延迟时间的变化敏感,这个延迟时间是由输入信号调控输出信号引起的.对于输入信号而言,随着延迟时间的增加,主峰的高度和峰的数目都是增加的.同时,对输出信号而言,随着延迟时间的增加,峰的数目是增加的,而主峰的高度则没有发生变化.然而,当输出信号被输入信号调控的延迟时间为零时,随着输出信号由自身调控的延迟时间的变化,输出信号比输入信号呈现出更为复杂的行为.