lorenz {fractal} | R Documentation

## Chaotic response of the Lorenz system

### Description

The Lorenz system is defined by the third order set of ordinary differential equations:

dx/dt = sigma( y - x ),

dy/dt = rx - y - xz,

dz/dt = -bz + xy

.

If the parameter set is sigma=10, r=28, b=8/3, then the system response is chaotic. The Lorenz is one the hallmark examples used in illustrating nonlinear deterministic chaotic motion.

### See Also

`beamchaos`, `ecgrr`, `eegduke`, `pd5si`.

### Examples

    plot(lorenz[,1], lorenz[,3], pch=".", col="blue")

[Package fractal version 1.0-1 Index]