d2: Sample correlation integral (at multiple length scales)

In tseriesChaos: Analysis of Nonlinear Time Series

Description

Computes the sample correlation integral over a grid of neps length scales starting from eps.min, and for multiple embedding dimensions

Usage

d2(series, m, d, t, eps.min, neps=100)

Arguments

series	time series
m	max embedding dimension
d	time delay
t	Theiler window
eps.min	min length scale
neps	number of length scales to evaluate

Details

Computes the sample correlation integral over neps length scales starting from eps.min, for embedding dimension 1,...,m , considering a t time window (see references). The slope of the linear segment in the log-log plot gives an estimate of the correlation dimension (see the example).

Value

Matrix. Column 1: length scales. Column i=2, ..., m+1: sample correlation integral for embedding dimension i-1.

Author(s)

Antonio, Fabio Di Narzo

References

Hegger, R., Kantz, H., Schreiber, T., Practical implementation of nonlinear time series methods: The TISEAN package; CHAOS 9, 413-435 (1999)

Examples

d2(lorenz.ts, m=6, d=2, t=4, eps.min=2)

Example output

Loading required package: deSolve

tseriesChaos documentation built on May 2, 2019, 6:38 a.m.