abstract
In the analysis of complex, nonlinear time series, scientists in a variety of disciplines have relied on a time delayed embedding of their data, i.e. attractor reconstruction. This approach has left several long-standing, but common problems unresolved in which the standard approaches produce inferior results or give no guidance at all. We propose an alternative approach that views the problem of choosing all embedding parameters as being one and the same problem addressable using a single statistical test formulated directly from the reconstruction theorems. This unified approach resolves all the main issues in attractor reconstruction.
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Pecora, L.M., Moniz, L., Nichols, J., Carroll, T.L. (2009). A Unified Approach to Attractor Reconstruction. In: Dana, S.K., Roy, P.K., Kurths, J. (eds) Complex Dynamics in Physiological Systems: From Heart to Brain. Understanding Complex Systems. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9143-8_1
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DOI: https://doi.org/10.1007/978-1-4020-9143-8_1
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