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Dimension calculations in a minimal embedding space: Low-dimensional attractors for human electroencephalograms

  • A. Classical Nonlinear Dynamics and Chaos
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The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function

Part of the book series: Lecture Notes in Physics ((LNP,volume 278))

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Abstract

Reconstructing an attractor in the Broomhead-King basis makes dimension calculations less sensitive to noise and require smaller embedding spaces. Use of this procedure to study human EEG's confirm earlier results that EEG's may indeed be characterizable by small attrctor dimensions, and continue to offer the possibility that dimensions or similar quantitative measures of chaotic activity of EEG's might be used to track changes in cognitive activity or pathological conditions.

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References

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Y. S. Kim W. W. Zachary

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© 1987 Springer-Verlag

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Albano, A.M., Smilowitz, L., Rapp, P.E., de Guzman, G.C., Bashore, T.R. (1987). Dimension calculations in a minimal embedding space: Low-dimensional attractors for human electroencephalograms. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_307

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  • DOI: https://doi.org/10.1007/3-540-17894-5_307

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17894-1

  • Online ISBN: 978-3-540-47901-7

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