henon: Henon map

In fractal: A Fractal Time Series Modeling and Analysis Package

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)

Example output

Loading required package: splus2R
Loading required package: ifultools

fractal documentation built on May 1, 2019, 8:04 p.m.