A new inverse method and application to ocean data

摘要

A new method is proposed to inverse normalization data of hidden variables in a dy- namical system by embedding a time series in multidimensional spaces and applying a normaliza- tion analysis to the conditional probability density of points in the reconstructed phase spaces. The method is robust in the application to Lorenz system and 4-dimensional Rssler system by testing quantitatively and qualitatively the correlation coefficient between inverse data and original data in time domain and in frequency domain, respectively.