Sensitivity of intrinsic mode functions of Lorenz system to initial values based on EMD method
Sensitivity of intrinsic mode functions of Lorenz system to initial values based on EMD method
复制标题
DOI：
10.1088/1009-1963/15/6/043
复制
发表时间：
2006-06
期刊：
影响因子：
--
通讯作者：
Ming-Wei Zou;Guo-Lin Feng;Xin-Quan Gao
中科院分区：
文献类型：
--
作者：
Ming-Wei Zou;Guo-Lin Feng;Xin-Quan Gao
混沌系统对初值的极端敏感性是混沌系统的一个固有特性。混沌系统的演化具有时空结构，包含不同时空尺度的准周期变化。本文利用经验模态分解（EMD）方法对Lorenz系统的x分量的随时间演化进行了分解和比较。结果表明，IMF分量的敏感性与初值有关，这为长期气候预测的可能性提供了一定的科学依据。
Extreme sensitivity to initial values is an intrinsic character of chaotic systems. The evolution of a chaotic system has a spatiotemporal structure containing quasi-periodic changes of different spatiotemporal scales. This paper uses an empirical mode decomposition (EMD) method to decompose and compare the evolution of the time-dependent evolutions of the x-component of the Lorenz system. The results indicate that the sensitivity of intrinsic mode function (IMF) component is dependent on initial values, which provides some scientific evidence for the possibility of long-range climatic prediction.