cliffordMap: Clifford map
In nonlinearAnalysis: R package for nonlinear time series analysis

Description Usage Arguments Details Value Note Author(s) See Also Examples

Generates a 2-dimensional time series using the Clifford map.

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  cliffordMap(a = -1.4, b = 1.6, c = 1, d = 0.7,
    start = runif(2), n.sample = 5000, n.transient = 500,
    do.plot = TRUE)

`start`	a 2-dimensional vector indicating the starting values for the x and y Clifford coordinates. If the starting point is not specified, it is generated randomly.
`a`	The a parameter. Default: -1.4
`b`	The b parameter. Default: 1.6
`c`	The c parameter. Default: 1.0
`d`	The d parameter. Default: 0.7
`n.sample`	Length of the generated time series. Default: 5000 samples.
`n.transient`	Number of transient samples that will be discarded. Default: 500 samples.
`do.plot`	Logical value. If TRUE (default value), a plot of the generated Clifford system is shown.

The Clifford map is defined as follows:

x[n+1] = sin(a*y[n]) + c*cos(a*x[n])

y[n+1] = sin(b*x[n] + d*cos(b*y[n])

The default selection for the a b c and d parameters is known to produce a deterministic chaotic time series.

A list with two vectors named x and y containing the x-components and the y-components of the Clifford map, respectively.

Some initial values may lead to an unstable system that will tend to infinity.

Constantino A. Garcia

henon, logisticMap, lorenz, rossler, ikedaMap, sinaiMap, gaussMap

## Not run: 
clifford.map=cliffordMap(n.sample = 1000, n.transient=10,do.plot=TRUE)
# accessing the x coordinate and plotting it
plot(ts(clifford.map$x))
## End(Not run)