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- W2019440223 abstract "Non-stationary chaos is a universal phenomenon in non-hyperbolic dynamical systems. Basic problems regarding the non-stationarity are discussed from ergodic-theoretical viewpoints. By use of a simple system, it is shown that “the law of large number” as well as “the law of small number” break down in the non-stationary regime. The non-stationarity in dynamical systems proposes a crucial problem underlying in the transitional region between chance and necessity, where non-observable processes behind reality interplay with observable ones. The incompleteness of statistical ensembles is discussed from the Karamata's theory. Finally, the significance of the stationary/non-stationary interface is emphasized in relation to the universality of 1/f fluctuations." @default.
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- W2019440223 date "2000-01-01" @default.
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- W2019440223 title "Comments on the non-stationary chaos" @default.
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- W2019440223 doi "https://doi.org/10.1016/s0960-0779(98)00292-6" @default.
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