Extreme events in excitable systems and mechanisms of their generation

2013/11/30 by Gerrit Ansmann, Rajat Karnatak, Klaus Lehnertz +1 · 3 citations
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1103/physreve.88.052911

published as Phys. Rev. E 88, 052911 (2013)

arxiv created 2014/08/27 · arxiv updated 2014/08/28

Abstract

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the influence of noise or parameter change. These deviations are rare, short-lasting, and recurrent and can therefore be regarded as extreme events. Employing a range of methods we analyze dynamical properties of the systems, identifying features in the systems' dynamics that may qualify as precursors to extreme events. We investigate these features and elucidate mechanisms that may be responsible for the generation of the extreme events.

Cited by

• Uncovering Extreme Event Mechanisms for Prediction and Control with Sensitivity-Balanced Projections
• Complex network topological and spectral determinants of extreme events
• Quantifying the irregularity of a time series

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