Lorenz 96 model

The Lorenz 96 model is a dynamical system formulated by Edward Lorenz in 1996.^[1] It is defined as follows:

$\frac{dx_i}{dt} = -x_{i-2}x_{i-1} + x_{i-1}x_{i+1} - x_i + F$

where $x_i$ is the state of the system and $F$ is a forcing constant. $F=8$ is a common value known to cause chaotic behavior.

It is commonly used as a model problem in data assimilation^[2]

References

1. Lorenz, Edward (1996). "Predictability – A problem partly solved" (PDF). Seminar on Predictability, Vol. I, ECMWF.
2. Ott, Edward. "A Local Ensemble Kalman Filter for Atmospheric Data Assimilation".