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Dimension Calculation Precision with Finite Data Sets

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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

The study of nonlinear dynamics has become quite popular recently. Originating in the natural sciences, the topic has now spread to numerous diverse fields such as brain research, optics, meteorology, economics, finance, statistics, mathematics, natural resources and agriculture. The interest in nonlinear dynamics was sparked by the discovery in the natural sciences of processes characterized by deterministic chaos; that is, highly complex behavior that is generated by relatively simple nonlinear functions. Observed time series generated by chaotic processes appear to be random by standard linear time series methods.

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References

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© 1989 Plenum Press, New York

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Sayers, C.L. (1989). Dimension Calculation Precision with Finite Data Sets. 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_21

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

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