Lorenz 96 model

The Lorenz 96 model is a dynamical system formulated by Edward Lorenz in 1996. It is defined as follows. For i = 1 , . . . , N :

where it is assumed that x − 1 = x N − 1 , x 0 = x N and x N + 1 = x 1 . Here 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