Brief Communication: Breeding vectors in the phase space reconstructed from time series data

Lynch, Erin; Kaufman, Daniel; Sharma, A. Surjalal; Kalnay, Eugenia; Ide, Kayo

doi:10.5194/npg-23-137-2016

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Brief Communication: Breeding vectors in the phase space reconstructed from time series data

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2016
By Lynch, Erin ; Kaufman, Daniel ; Sharma, A. Surjalal ; ...

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Journal Title:

Nonlinear Processes in Geophysics
Personal Author:

Lynch, Erin ; Kaufman, Daniel ; Sharma, A. Surjalal ; Kalnay, Eugenia ; Ide, Kayo
NOAA Program & Office:

CICS (Cooperative Institute for Climate and Satellites)
Description:

Bred vectors characterize the nonlinear instability of dynamical systems and so far have been computed only for systems with known evolution equations. In this article, bred vectors are computed from a single time series data using time-delay embedding, with a new technique, nearest-neighbor breeding. Since the dynamical properties of the standard and nearest-neighbor breeding are shown to be similar, this provides a new and novel way to model and predict sudden transitions in systems represented by time series data alone.
Keywords:

Geophysics Mathematical Models Mathematical Models
Source:

Nonlinear Processes in Geophysics, 23(3), 137-141
DOI:

https://doi.org/10.5194/npg-23-137-2016
Document Type:

Journal Article
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https://creativecommons.org/licenses/by/3.0/
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CC BY
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urn:sha256:811486cc283ad4917bbee7acb537360d114f4b8349a7afee2c92acce0fac4ce7
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https://repository.library.noaa.gov/view/noaa/51571/noaa_51571_DS1.pdf
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