Abstract
In this article we are concerned with the problem of prediction and data reduction of complex dynamical systems1. We will try to answer the following questions:
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How does one have to choose the delaytime τ and the embedding dimension m, in order to obtain an optimal reconstruction of the strange attractor of a chaotic system from the time series of a single variable?
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How could one use unstable periodic orbits, in order to extract models that can be used for prediction?
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What is the optimal encoding of the prediction function?
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References
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© 1989 Plenum Press, New York
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Schuster, H.G. (1989). Extraction of Models from Complex Data. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_50
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DOI: https://doi.org/10.1007/978-1-4757-0623-9_50
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