# phaseplanePlot: Phase-plane plot In fda: Functional Data Analysis

 phaseplanePlot R Documentation

## Phase-plane plot

### Description

Plot acceleration (or Ldfobj2) vs. velocity (or Lfdobj1) of a function data object.

### Usage

``````phaseplanePlot(evalarg, fdobj, Lfdobj1=1, Lfdobj2=2,
lty=c("longdash", "solid"),
labels=list(evalarg=seq(evalarg[1], max(evalarg), length=13),
labels=fda::monthLetters),
abline=list(h=0, v=0, lty=2), xlab="Velocity",
ylab="Acceleration", returnMatrix=FALSE, ...)
``````

### Arguments

 `evalarg` a vector of argument values at which the functional data object is to be evaluated. Defaults to a sequence of 181 points in the range specified by fdobj[["basis"]][["rangeval"]]. If(length(evalarg) == 1)it is replaced by seq(evalarg[1], evalarg[1]+1, length=181). If(length(evalarg) == 2)it is replaced by seq(evalarg[1], evalarg[2], length=181). `fdobj` a functional data object to be evaluated. `Lfdobj1` either a nonnegative integer or a linear differential operator object. The points plotted on the horizontal axis are eval.fd(evalarg, fdobj, Lfdobj1). By default, this is the velocity. `Lfdobj2` either a nonnegative integer or a linear differential operator object. The points plotted on the vertical axis are eval.fd(evalarg, fdobj, Lfdobj2). By default, this is the acceleration. `lty` line types for the first and second halves of the plot. `labels` a list of length two: evalarg = a numeric vector of 'evalarg' values to be labeled. labels = a character vector of labels, replicated to the same length as labels[["evalarg"]] in case it's not of the same length. `abline` arguments to a call to abline. `xlab` x axis label `ylab` y axis label `returnMatrix` logical: If TRUE, a two-dimensional is returned using a special class from the Matrix package. `...` optional arguments passed to plot.

### Value

Invisibly returns a matrix with two columns containg the points plotted.

### References

Ramsay, James O., Hooker, Giles, and Graves, Spencer (2009), Functional data analysis with R and Matlab, Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2005), Functional Data Analysis, 2nd ed., Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2002), Applied Functional Data Analysis, Springer, New York.

`plot`, `eval.fd` `plot.fd` `nondurables`

### Examples

``````goodsbasis <- create.bspline.basis(rangeval=c(1919,2000),
nbasis=161, norder=8)
LfdobjNonDur <- int2Lfd(4)
argvals = seq(1919,2000,len=length(nondurables))
logNondurSm <- smooth.basisPar(argvals,
y=log10(nondurables), fdobj=goodsbasis,
Lfdobj=LfdobjNonDur, lambda=1e-11)