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- W1985148657 abstract "We show that the number of KLD (Karhunen-Lo`eve decomposition) modes ${D}_{mathrm{KLD}}$ needed to capture a fraction $f$ of the total variance of an extensively chaotic state scales extensively with subsystem volume $V$. This allows a correlation length ${ensuremath{xi}}_{mathrm{KLD}}$ to be defined that is easily calculated from spatially localized data. We show that ${ensuremath{xi}}_{mathrm{KLD}}$ has a parametric dependence similar to that of the dimension correlation length and demonstrate that this length can be used to characterize high-dimensional inhomogeneous spatiotemporal chaos." @default.
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- W1985148657 date "1997-03-03" @default.
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- W1985148657 title "Karhunen-Loève Decomposition of Extensive Chaos" @default.
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- W1985148657 doi "https://doi.org/10.1103/physrevlett.78.1687" @default.
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