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Modelling Dynamical Systems from Real-World Data

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Measures of Complexity and Chaos

Part of the book series: NATO ASI Series ((NSSB,volume 208))

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Abstract

This summary describes some of my work on construction of dynamical system models from data, as part of a larger project to identify nonlinear dynamics and distinguish it from noise. In the space available it is only possible to look briefly at a number of different ideas and applications. The reader is referred to the bibliography for fuller details.

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References

  • A. Bowyer, Computing Dirichlet tesselations, The Computer Journal, 24 (2), 162–166 (1981).

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  • M. Casdagli, Phys. Rev. Letters, to appear (1989).

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  • J.D. Farmer and J.J. Sidorowich, Predicting chaotic time series, Phys. Rev. Letters 59 (8), 845–848 (1987).

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  • J.H. Friedman, Multivariate adaptive regression splines, Technical Report 102, Laboratory for Computational Statistics, Stanford University (1988).

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  • A.I. Mees, Modelling Complex Systems, Proceedings of the Conference on Modelling Complex Systems, eds. L.S. Jennings, A.I. Mees and T.L. Vincent, Birkhauser-Boston (1989).

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© 1989 Plenum Press, New York

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Mees, A. (1989). Modelling Dynamical Systems from Real-World 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_49

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_49

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

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