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Detecting chaos in irregularly sampled time series
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10.1063/1.4813865
/content/aip/journal/chaos/23/3/10.1063/1.4813865
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4813865
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Part of the time series generated from (1) using (a) for chaotic dynamics and (b) for periodic dynamics.

Image of FIG. 2.
FIG. 2.

The power spectrum and point count plot for (1) using ((a) and (c)) for chaotic dynamics and ((b) and (d)) for periodic dynamics. Note that Figure 2(b) contains the actual computed points in the spectrum, those points are not shown in Figure 2(a) as they make that figure difficult to read.

Image of FIG. 3.
FIG. 3.

The LSP power spectrum and point count plot for (1) using ((a) and (c)) for chaotic dynamics and ((b) and (d)) for periodic dynamics. Note that Figure 3(b) contains the actual computed points in the spectrum, those points are not shown in Figure 3(a) as they make that figure difficult to read.

Image of FIG. 4.
FIG. 4.

The irregularly sampled time series generated from (1) . Each graph is labeled by the type of dynamics and the percentage of data removed.

Image of FIG. 5.
FIG. 5.

The results of the heuristic method for the irregularly sampled chaotic time series generated from (1) . The left column contains the power spectrum as computed by the DFT and the right column contains the point count plot. Each graph is labeled by the type of dynamics and the percentage of data removed.

Image of FIG. 6.
FIG. 6.

The results of the heuristic method for the irregularly sampled periodic time series generated from (1) . The left column contains the power spectrum as computed by the DFT and the right column contains the point count plot. Each graph is labelled by the type of dynamics and the percentage of data removed.

Image of FIG. 7.
FIG. 7.

The results of the modified heuristic method for the irregularly sampled chaotic time series generated from (1) . The left column contains the power spectrum as computed by the LSP and the right column contains the point count plot. Each graph is labelled by the type of dynamics and the percentage of data removed.

Image of FIG. 8.
FIG. 8.

The results of the modified heuristic method for the irregularly sampled periodic time series generated from (1) . The left column contains the power spectrum as computed by the LSP and the right column contains the point count plot. Each graph is labelled by the type of dynamics and the percentage of data removed.

Image of FIG. 9.
FIG. 9.

The time series data (top), normalized power spectrum (middle), and point count plot (bottom) for Car.

Image of FIG. 10.
FIG. 10.

The time series data (top), normalized power spectrum (middle), and point count plot (bottom) for V CVn.

Image of FIG. 11.
FIG. 11.

The time series data (top), normalized power spectrum (middle), and point count plot (bottom) for UX Dra.

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/content/aip/journal/chaos/23/3/10.1063/1.4813865
2013-07-15
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Detecting chaos in irregularly sampled time series
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4813865
10.1063/1.4813865
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