Recurrence Analysis dialog box

 

Use this dialog box to create a recurrence plot and/or calculate recurrence quantification analysis (RQA) statistics as described by Weber & Zbilut (1994) for selected series.

 

Refer to Recurrence Analysis Output, Eckmann, Kamphorst & Ruelle (1987), Manetti, Ceruso, Giuliani, Webber & Zbilut (1999), Iwanski & Bradley (1998), Weber & Zbilut (1994) and Zbilut, Giuliani & Webber (1998) for additional information on these subjects.

 

Input

Specifies the worksheet location of the input data for this operation.

 

Valid Input Range

Provides a reference to the extent of the data available in the currently active worksheet. Use this range as a guide for typing valid extents in the Input Range 1 and Input Range 2 boxes.

 

Input Range 1

Type in this box the range of cells containing the data you want to use as input for this command (first set of input series).

 

Input Range 2

Type in this box the range of cells containing the data you want to use as input for this command (second set of input series).

 

 

Series in Rows

Check this box to indicate that the data specified by the Input Range 1 and Input Range 2 boxes is organized in rows as opposed to columns (the default)

 

Refer to Specifying Input Arguments for additional information on this subject.

 

Output

Specifies the worksheet location for placing the results of this operation.

 

New Workbook

Select this option to place the results of this operation in a new document workbook.

 

New Sheet

Select this option to place the results of this operation in a new worksheet.

 

Range Position

Select this option to place the results of this operation starting at the worksheet location specified in the box to the right of this option.

 

Recurrence Plot Only

Check this box to restrict this operation to the display of the recurrence plot only.

 

 

Refer to Specifying Output Locations for additional information on this subject.

 

Options <tab control>

 

Embedding tab

 

Series Context

Specifies how the selected series are organized within the input ranges.

 

Single Series

Select this option to indicate that the data specified by the Input Range 1 and Input Range 2 boxes represent individual series.

 

Multivariate

Select this option to specify that the input data (Input Range 1 and Input Range 2 boxes) represent multidimensional series as opposed to single series. In this case, the width of each series is specified by the Dimensions box.

 

Refer to Specifying Input Arguments for additional information on this subject.

 

Cross Recurrence

Check this box if you want to calculate the recurrence plot and/or RQA statistics across two or more series.

 

Dimensions

Specifies the dimensions that are used for the embedding (Single Series), or the width of the series (Multivariate).

 

Time Delay

Specifies the time delay used for the embedding.

 

 

Threshold Corridor tab

 

Distance Metric

Specifies the method by which distances are computed.

 

Loo - Max

Select this option if you want to use the Minkowski Max, , distance metric for measuring distances.

 

L1 - Manhattan

Select this option if you want to use the Minkowski Manhattan, L1, distance metric for measuring distances.

 

L2 - Euclidean

Select this option if you want to use the Minkowski Euclidean, L2, distance metric for measuring distances.

 

Dist. Context

Specifies interpretation of the quantities specified in the Lower Limit and Upper Limit boxes.

 

Fraction

Selecting this option instructs Predictive Systems Lab to interpret the quantities specified in the Lower Limit and Upper Limit boxes as a fraction of the extent of the attractor(s) in question, in the range [0.0, 1.0].

 

Actual Value

Selecting this option instructs Predictive Systems Lab to interpret the quantities specified in the Lower Limit and Upper Limit boxes as actual distances within the attractor(s) in question.

 

Fraction Context

Specifies the context by which the threshold fractions are interpreted for calculating the RQA statistics.

 

Global

Choose this option if you want to calculate the RQA statistics across all distances.

 

Local

Choose this option if you want to calculate the RQA statistics across points within the corridor distance only.

 

 

Lower Limit

Specifies the lower limit of the threshold corridor. Usually set to zero.

 

Upper Limit

Specifies the upper limit of the threshold corridor. Usually set to 10% (0.1) of the attractor size.

 

Refer to Iwanski & Bradley (1998) for a good discussion on the subject of threshold corridors.

 

Recurrence Analysis tab

 

Minimum Line

Specifies the minimum number of consecutive points that integrate a line in the context of RQA statistics.

 

Windowing

Check this box if you want to calculate RQA statistics on contiguous data windows within the selected series.

 

 

Window Size

Specifies the size of the data windows for calculating the RQA statistics.

 

Overlap Type

Specifies how contiguous data windows overlap.

Refer to the notes under Windowing for additional information on this subject.

 

None

Select this option if you do not want overlap between contiguous data windows.

 

Minimum

Select this option to specify the minimum possible overlap, one point, between contiguous data windows.

 

Specified

Select this option if you want to specify the amount of overlap between contiguous data windows.

 

Maximum

Select this option if you want the maximum possible overlap, Window Size - 1, between contiguous data windows.

 

Overlap

Specifies the amount of overlap between contiguous data windows as a fraction of the Window Size.

 

Colorization and Style tab

 

3-Dimensional

Check this box if you want to generate the recurrence plot as a contour map, instead of a bitmap.

 

 

Color Context

Specifies the distance context that will be painted in the recurrence plot.

 

All Distances

Select this option is you want to apply the Color Style across the total extent of the attractor.

 

Corridor Only

Select this option if you want to apply the Color Style across the extent of the corridor only.

 

 

Color Style

Specifies the way in which the recurrence plot will be painted.

 

Threshold

Select this option to use a threshold color to paint pair of points that fall within the corridor distance.

 

Gray Scale

Select this option to paint, using a gray scale gradient, pairs of points according to their distance.

 

Spectrum I

Select this option to paint, using a prescribed palette, pairs of points according to their distance.

Refer to Spectrum I Palette to display this palette.

 

Spectrum II

Select this option to paint, using a prescribed palette, pairs of points according to their distance.

Refer to Spectrum II Palette to display this palette.

 

Spectrum III

Select this option to paint, using a prescribed palette, pairs of points according to their distance.

Refer to Spectrum III Palette for a description of this palette.

 

Gradient

Select this option to paint, using a gradient of colors, pairs of points according to their distance.

 

Ascending Order

Check this box to invert the order of the spectrum colors for painting the point pair distances.

 

Threshold Color

Use this control to select the color with which to paint pair of points that fall within the corridor distance.

 

 

Gradient Colors

Use these controls to select the start and end colors of the gradient to paint pairs of points according to their distance.

 

 

OK

Click this button to close the dialog box and save any changes you have made.

 

Cancel

Click this button to close the dialog box without saving any changes you have made.