CRP Toolbox Reference

phasespace

Purpose

Embedding of time series in a phase space.

Syntax

    phasespace(x)
    phasespace(x,y)
    phasespace(x,y,z)

Description

Shows the 3D phase space trajectory of the system which is presented by the observation x. The phase vectors are a reconstruction by using the time delay method (Takens, 1981). A GUI provides to change the embedding dimension to 2D.

phasespace(x,y) or phasespace(x,y,z) uses the one-column vectors x, y (and z) as the components of the phase space trajectory. The representation is 2D (3D) only and cannot be switched to the other representation.

phasespace without any arguments calls a demo (the same as the example below).

Example

    phasespace(cos(0:.1:32).*[321:-1:1])

See Also

fnn, pss

References

Takens, F.: Detecting Strange Attractors in Turbulence, Lecture Notes in Mathematics, 898, Springer, Berlin, 1981

normalize phasesynchro