henon {fractal} | R Documentation |
Calculates the Henon map states using the specifed parameter set. The Henon map is defined as
x[n] = a - x[n - 1]^2 + b * y[n - 1]
y[n] = x[n - 1].
A parameter set of a=1.4 and b=0.3 is known to produce a deterministic chaotic response.
henon(start=rnorm(2), a=1.4, b=0.3, n.sample=2000, n.transient=10)
start |
a two-element vector of numeric values denoting the starting values for the X and Y Henon coordinates, respectively. |
a |
the a parameter. Default: 1.4 . |
b |
the b parameter. Default: 0.3 . |
n.sample |
an integer denoting the number of iterates to create beyond that
specified by n.transient . Default: 2000 . |
n.transient |
an integer denoting the number of transient points.
These transients are removed from the output. Default: 10 . |
a list of vectors named x
and y
corresponding to the X- and Y states of the Henon map, respectively.
plot(henon(),pch=".",cex=0.1)