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Ocean rogue waves and their phase space dynamics in the limit of a linear interference model

机译:线性干扰模型极限下的海洋无赖波及其相空间动力学

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摘要

We reanalyse the probability for formation of extreme waves using the simple model of linear interference of a finite number of elementary waves with fixed amplitude and random phase fluctuations. Under these model assumptions no rogue waves appear when less than 10 elementary waves interfere with each other. Above this threshold rogue wave formation becomes increasingly likely, with appearance frequencies that may even exceed long-term observations by an order of magnitude. For estimation of the effective number of interfering waves, we suggest the Grassberger-Procaccia dimensional analysis of individual time series. For the ocean system, it is further shown that the resulting phase space dimension may vary, such that the threshold for rogue wave formation is not always reached. Time series analysis as well as the appearance of particular focusing wind conditions may enable an effective forecast of such rogue-wave prone situations. In particular, extracting the dimension from ocean time series allows much more specific estimation of the rogue wave probability.
机译:我们使用具有固定振幅和随机相位波动的有限数量的基本波的线性干扰的简单模型,重新分析了形成极端波的可能性。在这些模型假设下,当少于10个基本波相互干扰时,不会出现恶意波。超过此阈值,恶意波形成的可能性越来越大,出现频率甚至可能超过长期观测的数量级。为了估计干扰波的有效数量,我们建议对单个时间序列进行Grassberger-Procaccia维分析。对于海洋系统,进一步表明,相空间的大小可能会发生变化,以致于流浪波形成的阈值并不总是达到。时间序列分析以及特定的聚焦风况的出现可以有效地预测这种容易发生浪潮的情况。特别是,从海洋时间序列中提取维数可以对流浪概率进行更具体的估计。

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