Local Low Dimensionality in the Lorenz'96 Model of Atmospheric Dynamics

Stefan Siegert

Chemnitz University of Technology, Institute of Physics, Complex Systems
and Nonlinear Dynamics, Germany

The Lorenz96 model is a prototype model mimicking certain features of mid-latitude atmospheric dynamics. It is widely used for conceptual studies of atmospheric predictability. Bred vectors characterize finite-time dynamics of high-dimensional chaotic systems under the influence of finite-size perturbations.

In recent studies it was found, that Bred vectors in atmospheric models exhibit anomalously low dimensionality in localized regions. In the present study, regions of low Bred vector dimensionality in the Lorenz96 model were identified. A negative correlation between local Bred vector dimensionality and local information entropy, a measure of predictability, is pointed out.

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