Lorenz-95
Encyclopedia
Lorenz-95 is a dynamical system
formulated by Edward Lorenz in 1995 . It is defined as follows:
where
is the state of the system and 
is a forcing constant. 
is a common value known to cause chaotic behavior.
It is commonly used as a model problem in data assimilation
Dynamical system
A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a...
formulated by Edward Lorenz in 1995 . It is defined as follows:
where
is the state of the system and is a forcing constant. is a common value known to cause chaotic behavior.It is commonly used as a model problem in data assimilation
Data assimilation
Applications of data assimilation arise in many fields of geosciences, perhaps most importantly in weather forecasting and hydrology. Data assimilation proceeds by analysis cycles...