henon {fractal} | R Documentation

## 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

    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

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

[Package fractal version 1.0-1 Index]