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- W1609271017 abstract "We give results of a few simple applications of a statistical test for ‘‘smoothness’’ of embedded time series recently introduced by the authors. The method, which is applicable to both map and flow data, exploits an arbitrariness in the choice of vector field for computation of a statistic forming the basis of the test. The statistic we choose is a natural extension to the general vector field setting of Kaplan and Glass’s Λ‐statistic, although that specific choice is not essential to the method. Unavoidable uncertainties in Λ due to finite numerics are mitigated by the device of employing maximum and minimum values of Λ over a set of many randomly chosen vector fields. We examine properties under the test of examples chosen to illustrate the variety of effects that can occur in implementation of the test. Although we have focussed our investigations on low values of embedding trial dimension, the method seems likely to be generally reliable if appropriate data requirements are met." @default.
- W1609271017 created "2016-06-24" @default.
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- W1609271017 date "1994-01-01" @default.
- W1609271017 modified "2023-09-24" @default.
- W1609271017 title "Applications of a statistical test for ‘‘smooth’’ dynamics" @default.
- W1609271017 doi "https://doi.org/10.1063/1.45296" @default.
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