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

Beims, Marcus W.; Gallas, Jason A. C.

doi:10.1038/srep37102

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

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Beims, Marcus W.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gallas, Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5109478/
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Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-32D8-F

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.