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Extreme event statistics in a map with singularity

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  • Bera, Abhijit
  • Banerjee, Soumitro

Abstract

It has been experimentally demonstrated that a fluid container oscillated vertically exhibits fluid spike states under some conditions. Modeling this dynamical system has led to a return map with singularity which admits states at infinity. In this paper, we investigate the statistics of those spiked states whose heights are beyond a particular threshold and are denoted as extreme events for this system. We show that the probability distribution of those states follows a power law, quite comparable to naturally occurring stochastic extreme events, but the probability of first time occurrence and the temporal gap between two extreme events are quite different from that of other natural phenomena. We also obtain the extreme event statistics in spatially extended systems coupled by this map.

Suggested Citation

  • Bera, Abhijit & Banerjee, Soumitro, 2022. "Extreme event statistics in a map with singularity," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008657
    DOI: 10.1016/j.chaos.2022.112686
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    References listed on IDEAS

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    1. Erwann Michel-Kerjan & Frederic Morlaye, 2008. "Extreme Events, Global Warming, and Insurance-Linked Securities: How to Trigger the “Tipping Point”," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 33(1), pages 153-176, January.
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    Keywords

    Extreme event statistics; Singular map;

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