Extreme and superextreme events in a loss-modulated CO2 laser : nonlinear resonance route and precursors
Visualizar/abrir
Data
2017Tipo
Abstract
We investigate the occurrence of extreme and rare events, i.e., giant and rare light pulses, in a periodically modulated CO2 laser model. Due to nonlinear resonant processes, we show a scenario of interaction between chaotic bands of different orders, which may lead to the formation of extreme and rare events. We identify a crisis line in the modulation parameter space, and we show that, when the modulation amplitude increases, remaining in the vicinity of the crisis, some statistical propertie ...
We investigate the occurrence of extreme and rare events, i.e., giant and rare light pulses, in a periodically modulated CO2 laser model. Due to nonlinear resonant processes, we show a scenario of interaction between chaotic bands of different orders, which may lead to the formation of extreme and rare events. We identify a crisis line in the modulation parameter space, and we show that, when the modulation amplitude increases, remaining in the vicinity of the crisis, some statistical properties of the laser pulses, such as the average and dispersion of amplitudes, do not change much, whereas the amplitude of extreme events grows enormously, giving rise to extreme events with much larger deviations than usually reported, with a significant probability of occurrence, i.e., with a long-tailed non-Gaussian distribution. We identify recurrent regular patterns, i.e., precursors, that anticipate the emergence of extreme and rare events, and we associate these regular patterns with unstable periodic orbits embedded in a chaotic attractor. We show that the precursors may or may not lead to the emergence of extreme events. Thus, we compute the probability of success or failure (false alarm) in the prediction of the extreme events, once a precursor is identified in the deterministic time series.We show that this probability depends on the accuracy with which the precursor is identified in the laser intensity time series. ...
Contido em
Physical review. E, Statistical, nonlinear, and soft matter physics. Melville. Vol. 96, no. 1 (July 2017), 012216, 12 p.
Origem
Estrangeiro
Coleções
-
Artigos de Periódicos (39349)Ciências Exatas e da Terra (5974)
Este item está licenciado na Creative Commons License
![](/themes/Mirage2Novo//images/lume/cc.png)