Abstract
Until now the emphasis has been on the analysis of the evolutions and their organisation in state space, in particular their geometric (topological) and measure-theoretic structure, given the system. In this chapter, the question is which properties of thesystem one can reconstruct, given a time series of an evolution, just assuming that ithas a deterministic evolution law.We note that this is exactly the historical way thatinformation was obtained on the solar system.
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© 2011 Springer Science+Business Media, LLC
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Broer, H., Takens, F. (2011). Reconstruction and time series analysis. In: Dynamical Systems and Chaos. Applied Mathematical Sciences, vol 172. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6870-8_6
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DOI: https://doi.org/10.1007/978-1-4419-6870-8_6
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