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

Beims, M. W., & Gallas, J. A. C. (2016). Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes? Scientific Reports, 6: 37102. doi:10.1038/srep37102.

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 Creators:
Beims, Marcus W.1, Author           
Gallas, Jason A. C.1, Author           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Phase transitions and critical phenomena
 Abstract: 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 Rossler oscillator and for a semiconductor laser with optoelectronic feedback.

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 Dates: 2016-11-152016-12
 Publication Status: Issued
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 Identifiers: DOI: 10.1038/srep37102
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Title: Scientific Reports
  Abbreviation : Sci. Rep.
Source Genre: Journal
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Publ. Info: London, UK : Nature Publishing Group
Pages: - Volume / Issue: 6 Sequence Number: 37102 Start / End Page: - Identifier: ISSN: 2045-2322
CoNE: https://pure.mpg.de/cone/journals/resource/2045-2322