1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Transcripts: An algebraic approach to coupled time series
Rent:
Rent this article for
USD
10.1063/1.3673238
/content/aip/journal/chaos/22/1/10.1063/1.3673238
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/1/10.1063/1.3673238
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Upper row: Complexity measures versus the coupling k for the Rössler system given by Eqs. (40) . Middle row: Complexity measures versus the entropy of transcripts . Lower row. Left: The entropy of transcripts versus the coupling constant k. Right: The mutual information I(α, β) versus the coupling constant k. Curves which are plotted using different line types indicate results for the component pairs x 1,2, y 1,2, and z 1,2. All results were obtained using L = 4 and δ = 150.

Image of FIG. 2.
FIG. 2.

(Color) Left: Complexity diagram given by C 1. Right: Complexity diagram given by C 2. The color coding indicates increasing complexity values from deep blue to light yellow according to the respective color bar. Results were obtained using L = 4 and δ = 1. Complexity values were calculated for increments Δk 1,2 = 10−3 and time series of length 217 data points.

Image of FIG. 3.
FIG. 3.

Portraits of the delayed coupled logistic map (Eq. (41) ) x 1 versus x 2 for six different pairs (k 1,k 2) selected according to increasing values of the complexity measure C 1. The coupling strengths and the values of both complexity measures are shown for every state. For the sake of comparison, the complexity values have been normalized by the respective maximum complexity.

Image of FIG. 4.
FIG. 4.

Upper left: Time evolution of the spatial mean of the entropy of transcripts. Upper right: Time evolution of the spatial mean of the mutual information of ordinal patterns. Lower left: Time course of the spatial mean of the coupling complexity C 1. Lower right: Time course of the spatial mean of the coupling complexity C 2. At about 402 s an epileptic seizure starts. All results were obtained using L = 4 and a delay δ = 0.048 s.

Loading

Article metrics loading...

/content/aip/journal/chaos/22/1/10.1063/1.3673238
2012-01-13
2014-04-23
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Transcripts: An algebraic approach to coupled time series
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/1/10.1063/1.3673238
10.1063/1.3673238
SEARCH_EXPAND_ITEM