upo {RTisean}R Documentation

Unstable periodic orbits

Description

Tools for finding unstable periodic orbits and their stability.

Usage

upo(series, m = -1, r = -1, v = -1, p = 1, w = -1, W = -1, a = -1, s = -1, n = -1, l = -1, x = 0, c = 1,pretty=FALSE)

Arguments

series a matrix or vector.
m embedding dimension.
r absolute kernel bandwidth.
v same as fraction of standard deviation.
p period of orbit.
w minimal separation of trial points.
W minimal separation of distinct orbits.
a maximal error of orbit to be plotted.
s initial separation for stability.
n number of trials.
l number of values to be read.
x number of values to be skipped.
c column to be read.
pretty clean output up.

Details

The parameter pretty must be set to FALSE if the output of upo is meant to be post-processed by upoembed.

Value

A list of three-column matrices, containing respectively the order of period, the level of accuracy and the most unstable orbit eigenvalue.

Note

This actually gives erroneous results

See Also

upoembed

Examples

## Not run: 

dat <- henon(1000)
noise <- rnorm(1000,0,0.1*sd(dat[,2]))
dat[,2] <- dat[,2]+ noise
unstperorbit <- upo(dat,m=2, v=0.1, n=70, p=6,pretty=T)

## End(Not run)

[Package RTisean version 3.0.10 Index]