A framework for analyzing nonlinear data streams (and nonlinear time series).

Based on the package:

• stream.

Load the package and create a data stream based on a transient Logistic Map:

, in which .

library("streamChaos")

dsd <- NLDSD_TransientLogisticMap(N=12000)

Process such stream using the Permutation Entropy algorithm with a sliding window of 800 observations, sliding 10 observations by iteration.

pe <- DSCDD_PermutationEntropy(m=5, d=1, window.length=800)

ret <- processStream(dsd, pe, window.step=10)

Plot the results.

plot(ret$ds[,1], pch='.')
par(new=T, xaxt='n', yaxt='n')
ts.plot(ret$measures, col=2, xlab='', ylab='')

Algorithms:

• Permutation Entropy
• Recurrence Quantification Analysis
• Multidimensional Fourier Transform
• Permutation-Invariant

Data streams:

• Transient Logistic Map
• Transient Lorenz Attractor