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- W2066395997 abstract "We propose here a local exponential divergence plot which is capable of providing an alternative means of characterizing a complex time series. The suggested plot defines a time-dependent exponent and a ``plus'' exponent. Based on their changes with the embedding dimension and delay time, a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time, and the largest Lyapunov exponent has been obtained. When redefining the time-dependent exponent ensuremath{Lambda}(k) curves on a series of shells, we have found that whether a linear envelope to the ensuremath{Lambda}(k) curves exists can serve as a direct dynamical method of distinguishing chaos from noise." @default.
- W2066395997 created "2016-06-24" @default.
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- W2066395997 date "1994-05-01" @default.
- W2066395997 modified "2023-10-18" @default.
- W2066395997 title "Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time series" @default.
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- W2066395997 doi "https://doi.org/10.1103/physreve.49.3807" @default.
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