nonlinearTseries0.3.0 package

Nonlinear Time Series Analysis

buildTakens

Build the Takens' vectors

cliffordMap

Clifford map

contourLines

Obtain the contour lines of the space time plot.

corrDim

Correlation sum, correlation dimension and generalized correlation dim...

corrMatrix

Returns the correlation sums stored in the corrDim object

dfa

Detrended Fluctuation Analysis

divergence

Returns the rate of divergence of close trajectories needed for the ma...

divTime

Returns the time in which the divergence of close trajectories was com...

embeddingDims

Get the embedding dimensions used for compute a chaotic invariant.

estimate

Estimate several chaotic invariants using linear regression

estimateEmbeddingDim

Estimate the embedding dimension

FFTsurrogate

Generate surrogate data using the Fourier transform

findAllNeighbours

neighbour search

fixedMass

fixed mass

fluctuationFunction

Returns the fluctuation function obtained in a DFA and represented by ...

gaussMap

Gauss map

getContourLines

Obtain the contour lines of the space time plot.

henon

Henon map

ikedaMap

Ikeda map

infDim

Information dimension

keenanTest

Keenan's test

logisticMap

Logistic map

logRadius

Obtain the the average log(radius) computed on the information dimensi...

lorenz

Lorenz system

maxLyapunov

Maximum lyapunov exponent

mcleodLiTest

McLeod-Li test

mutualInformation

Average Mutual Information (AMI)

neighbourSearch

neighbour search

nlOrder

Get the order of the nonlinear chaotic invariant.

nonlinearityTest

Nonlinearity test

nonLinearNoiseReduction

Nonlinear noise reduction

nonLinearPrediction

Nonlinear time series prediction

plotLocalScalingExp

Plot local scaling exponents

poincareMap

Poincare map

radius

Get the radius of the neighborhoods used for the computations of a cha...

recurrencePlot

Recurrence Plot

rossler

Rossler system

rqa

Recurrence Quantification Analysis (RQA)

sampleEntropy

Sample Entropy (also known as Kolgomorov-Sinai Entropy)

sampleEntropyFunction

Returns the sample entropy function hq(m,r)h_q(m,r) used for the computatio...

sinaiMap

Sinai map

spaceTimePlot

Space Time plot

surrogateTest

Surrogate data testing

thresholdTest

Threshold nonlinearity test

timeAsymmetry

Time Reversibility statistic

timeAsymmetry2

Time Reversibility statistic

timeLag

Estimate an appropiate time lag for the Takens' vectors

tsayTest

Tsay's test

windowSizes

Returns the window sizes used for DFA in a dfa object.

Functions for nonlinear time series analysis. This package permits the computation of the most-used nonlinear statistics/algorithms including generalized correlation dimension, information dimension, largest Lyapunov exponent, sample entropy and Recurrence Quantification Analysis (RQA), among others. Basic routines for surrogate data testing are also included. Part of this work was based on the book "Nonlinear time series analysis" by Holger Kantz and Thomas Schreiber (ISBN: 9780521529020).

  • Maintainer: Constantino A. Garcia
  • License: GPL-3
  • Last published: 2024-04-01