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• W2022679369 abstract "We describe methods of estimating the entire Lyapunov spectrum of a spatially extended system from multivariate time-series observations. Provided that the coupling in the system is short range, the Jacobian has a banded structure and can be estimated using spatially localised reconstructions in low embedding dimensions. This circumvents the ``curse of dimensionality'' that prevents the accurate reconstruction of high-dimensional dynamics from observed time series. The technique is illustrated using coupled map lattices as prototype models for spatio-temporal chaos and is found to work even when the coupling is not strictly local but only exponentially decaying." @default.
• W2022679369 created "2016-06-24" @default.
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• W2022679369 date "2000-11-01" @default.
• W2022679369 modified "2023-09-27" @default.
• W2022679369 title "Quasidiagonal approach to the estimation of Lyapunov spectra for spatiotemporal systems from multivariate time series" @default.
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• W2022679369 doi "https://doi.org/10.1103/physreve.62.6429" @default.
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