Extreme event statistics in a map with singularity

Abhijit Bera and Soumitro Banerjee

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

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.

Keywords: Extreme event statistics; Singular map (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008657

DOI: 10.1016/j.chaos.2022.112686

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