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

Beims MW, Gallas J (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Scientific Reports Nature Publishing Group: Open Access Journals - Option B

Book Volume: 6

Article Number: 37102

DOI: 10.1038/srep37102

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 Rössler oscillator and for a semiconductor laser with optoelectronic feedback.

Authors with CRIS profile

Jason Gallas Lehrstuhl für Multiscale Simulation of Particulate Systems

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

Involved external institutions

Universidade Federal do Paraná (UFPR) BR Brazil (BR)

How to cite

APA:

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

MLA:

Beims, Marcus W., and Jason Gallas. "Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?" Scientific Reports 6 (2016).

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