Lorenz 63 system
The equations of motion of the famous
Lorenz 63 system
are defined by:
with the usual parameters
and the scaling parameter
.
See implementation of this
system for the AnT package.
The figure shows the three lyapunov exponents of this system in
dependence on the scan parameter
with the fixed parameter setting
and the initial condition
.
Hereby the scan parameter was varied from 0.0 to 800.0 in 16001
equidistant steps.
The figure shows the two largest lyapunov exponents of this system
in the parameter area
with the fixed parameter setting
and the initial condition
.
Hereby, the so-called scan parameters
were varied from their minimal
to their maximal value in 201 equidistant steps.
The figure shows two time series for identical initial conditions
calculated numerically with two different one-step integration
methods of the Runge-Kutta type (Gill's method and the classical
Runge-Kutta method). Both methods are used here with fixed stepsize
,
the parameter setting
and the initial condition
.
Last modified: 2004--04-22 Contact:AnT
