Filling Gaps in Chaotic Time Series

Details Filling Gaps in Chaotic Time Series Filling Gaps in Chaotic Time Series

2005-02-19

arxiv.org/abs/nlin/0502044v1

Phys. Letters A, 346 (2005) 47-53.

Nonlinear Sciences

Chaotic Dynamics

14 pages (REVTeX preprint), 4 figures

Scientific paper

We propose a method for filling arbitrarily wide gaps in deterministic time series. Crucial to the method is the ability to apply Takens' theorem in order to reconstruct the dynamics underlying the time series. We introduce a functional to evaluate how compatible is a filling sequence of data with the reconstructed dynamics. An algorithm for minimizing the functional with a reasonable computational effort is then discussed.

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