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- W2788033145 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.
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- W2788033145 date "2000-04-06" @default.
- W2788033145 modified "2023-09-27" @default.
- W2788033145 title "Quasi-diagonal reconstruction of Lyapunov spectra for spatio-temporal systems from multivariate time series" @default.
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