Henon map

Description

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.

Usage

1
henon(start=rnorm(2), a=1.4, b=0.3, n.sample=2000, n.transient=10)

Arguments

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.

Value

a list of vectors named x and y corresponding to the X- and Y states of the Henon map, respectively.

See Also

lorenz, lorenz.ode.

Examples

1
plot(henon(),pch=".",cex=0.1)

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