中文摘要：

Certain deterministic nonlinear systems may show chaotic behavior.We consider the motion of qualitative information and the practicalities of extractinga part from chaotic experimental data.Our approach based on a theorem of Takensdraws on the ideas from the generalized theory of information known as singular sys-tem analysis.We illustrate this technique by numerical data from the chaotic regionof the chaotic experimental data.The method of the singular-value decompositionis used to calculate the eigenvalues of embedding space matrix.The correspondingconcrete algorithm to calculate eigenvectors and to obtain the basis of embeddingvector space is proposed in this paper.The projection on the orthogonal basis gener-ated by eigenvectors of timeseries data and concrete paradigm are also provided here.Meanwhile the state space reconstruction technology of different kinds of chaotic dataobtained from dynamical system has also been discussed in detail.

英文摘要：

Certain deterministic nonlinear systems may show chaotic behavior. We consider the motion of qualitative information and the practicalities of extracting a part from chaotic experimental data. Our approach based on a theorem of Takens draws on the ideas from the generalized theory of information known as singular system analysis. We illustrate this technique by numerical data from the chaotic region of the chaotic experimental data. The method of the singular-value decomposition is used to calculate the eigenvalues of embedding space matrix. The corresponding concrete algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is proposed in this paper. The projection on the orthogonal basis generated by eigenvectors of timeseries data and concrete paradigm are also provided here. Meanwhile the state space reconstruction technology of different kinds of chaotic data obtained from dynamical system has also been discussed in detail.