lorenz: Chaotic response of the Lorenz system

Description See Also Examples


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.


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

Example output

Loading required package: splus2R
Loading required package: ifultools

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