Document Type
Article
Department/Program
Virginia Institute of Marine Science
Publication Date
2016
Journal
NONLINEAR PROCESSES IN GEOPHYSICS
Volume
23
Issue
3
First Page
137
Last Page
141
Abstract
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.
DOI
10.5194/npg-23-137-2016
Keywords
MAGNETOSPHERIC DYNAMICS; PREDICTION; FILTERS; STORMS
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Sponsor
This work is supported by JPL grant 1485739, CICS grants NOAA-CISC-EKEK_12 and CICS-EKEK_14, NSF/IIP grant 1338634, and ONR grant N00014-10-1-0557. This paper is in part Contribution No. 3465 of the Virginia Institute of Marine Science, College of William & Mary.
Recommended Citation
Lynch, E., Kaufman, D., Sharma, A. S., Kalnay, E., and Ide, K.: Brief Communication: Breeding vectors in the phase space reconstructed from time series data, Nonlin. Processes Geophys., 23, 137-141, https://doi.org/10.5194/npg-23-137-2016, 2016.
