Poincare Surface of Section dialog box

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Use this dialog box to compute the Poincare surface of section for selected series.

 

poincare

Poincare section of a 3-D trajectory into a 2-D plane. Points are recorded as they cross through the surface.

 

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 box.

 

Input Range

Type in this box the range of cells containing the data you want to use as input for this command.

 

Series in Rows

Check this box to indicate that the data specified by the Input Range box 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.

 

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

 

Options

 

Series Context

 

Single Series

Select this option to indicate that the data specified by the Input Range box represent individual series.

 

Multivariate

Select this option to indicate that the data specified by the Input Range box represent one multidimensional series.

 

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

 

Dimensions

Specifies the number of dimensions that will be used for embedding the selected series.  Type in this box an integer number greater than 1.

 

noteIt is not possible to plot the result of a Poincare surface of section if the number of specified dimensions exceeds 5.

 

Time Delay

Specifies the time delay that will be used for embedding the selected series.  Type in this box an integer number greater than 1.

 

Cross Component

Specifies the dimensional component that will be used to plot the crossings.

 

Cross Location

 

Component Mean

Select this option to create the hyper-plane for crossings at the mean coordinate of the dimensional component selected for the crossings.

 

Extent Fraction

Select this option to create the hyper-plane for crossings at a coordinate specified by a fraction of the extent of the dimensional component selected for the crossings, then type the extent fraction in the Coordinate/Fraction box.

 

Coordinate

Select this option to create the hyper-plane for crossings at a coordinate of the dimensional component selected for the crossings, then type the coordinate in the Coordinate/Fraction box.

 

Coordinate/Fraction

When you select the Extent Fraction or the Coordinate option, you must type in this box a real number specifying the fraction of the extent or an absolute coordinate, respectively, where you want to create the hyper-plane for crossings.

 

noteFor extent fractions, the number typed in this box must be greater or equal to 0 and smaller or equal to 1.

 

Pierce Direction

 

From Below

Select this option if you want this algorithm to only consider hyper-plane crossings coming from below.

 

From Above

Select this option if you want this algorithm to only consider hyper-plane crossings coming from above.

 

Any

Select this option if you want this algorithm to consider hyper-plane crossings from any direction.

 

Additional Options

 

Crossing Time Output

Specifies options for reporting the time between crossings.

 

None

Select this option if you do not want crossing time included in the results of this operation.

 

Time Lapse

Select this option if you want crossing time reported in terms of lapses from previous crossings.

 

Actual Time

Select this option if you want crossing time reported in terms of actual time.

 

noteTime is reported in terms of  vector order.  In this context for example, the lapse between 2 contiguous vectors, vector 43 and vector 44, is 1 time unit and they occur at times 43 and 44, respectively.

 

Plot

Check this box to plot the results of this operation.

 

noteThis option will be ignored if the number of specified dimensions in the Dimensions box exceeds 5.

 

OK

Closes the dialog box and carries out this operation.

 

Cancel

Closes the dialog box without carrying out this operation.

 

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