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C++ API

Function File: output = poincare (X)
Function File: output = poincare (X, m, paramName, paramValue, …)
Function File: output = poincare (…, 'FromAbove', …)

Make a Poincare section for time continuous scalar data sets along one of the coordinates of the embedding vector.

Input

X

Must be realvector. If it is a row vector then the output will be a matrix that consists of row vectors as well.

Parameters

m

The embedding dimension used. It is synonymous to flag ’-m’ from TISEAN [default = 2].

d

Delay used for the embedding [default = 1].

q

Component for the crossing [default = value of parameter ’m’ (last one)].

a

Switch

FromAbove

If this switch is set the crossing will occur from above, instead of from below. This is equivalent to setting flag ’-C1’ from TISEAN.

Output

The output consists of the as many components as the value of parameter m (columns or rows depending on input). The first M-1 are the coordinates of the vector at the crossing and the last component is the time between the last two crossings.

Algorithms

The algorithms for this functions have been taken from the TISEAN package.

Package: tisean