The state space reconstruction technology of different kinds of chaotic data obtained from dynamical system

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