Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?

We argue that the alignment of Lyapunov vectors provides a quantitative criterion to predict catastrophes, i.e. the imminence of large-amplitude events in chaotic time-series of observables generated by sets of ordinary differential equations. Explicit predictions are reported for a Rössler oscillat...

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Detalles Bibliográficos
Autores principales: Beims, Marcus W., Gallas, Jason A. C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5109478/
https://www.ncbi.nlm.nih.gov/pubmed/27845435
http://dx.doi.org/10.1038/srep37102
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author Beims, Marcus W.
Gallas, Jason A. C.
author_facet Beims, Marcus W.
Gallas, Jason A. C.
author_sort Beims, Marcus W.
collection PubMed
description We argue that the alignment of Lyapunov vectors provides a quantitative criterion to predict catastrophes, i.e. the imminence of large-amplitude events in chaotic time-series of observables generated by sets of ordinary differential equations. Explicit predictions are reported for a Rössler oscillator and for a semiconductor laser with optoelectronic feedback.
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spelling pubmed-51094782016-11-25 Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes? Beims, Marcus W. Gallas, Jason A. C. Sci Rep Article We argue that the alignment of Lyapunov vectors provides a quantitative criterion to predict catastrophes, i.e. the imminence of large-amplitude events in chaotic time-series of observables generated by sets of ordinary differential equations. Explicit predictions are reported for a Rössler oscillator and for a semiconductor laser with optoelectronic feedback. Nature Publishing Group 2016-11-15 /pmc/articles/PMC5109478/ /pubmed/27845435 http://dx.doi.org/10.1038/srep37102 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Beims, Marcus W.
Gallas, Jason A. C.
Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title_full Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title_fullStr Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title_full_unstemmed Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title_short Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
title_sort alignment of lyapunov vectors: a quantitative criterion to predict catastrophes?
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5109478/
https://www.ncbi.nlm.nih.gov/pubmed/27845435
http://dx.doi.org/10.1038/srep37102
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