Abstract
The cumulative distribution function (CDF) of the maximum in a time series generated by different kinds of deterministic dynamics is computed, in the framework of prototypical models of such dynamics. This CDF is shown to be significantly different in form from that of the maximum in a sequence of identically distributed random variables. In the latter case, the CDF is generically in the domain of attraction of one of the three extreme value distributions. This property is not shared by the CDF for deterministic dynamics. The characteristic features of the CDF are elucidated in the case of periodic, quasiperiodic, fully chaotic and intermittently chaotic dynamics.
Published Version
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