Phys. Rev. Lett. 86, 5878–5881 (2001)

Local Low Dimensionality of Atmospheric Dynamics

Abstract

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D. J. Patil^*,†, Brian R. Hunt^‡, Eugenia Kalnay^§, James A. Yorke^**, and Edward Ott^††
University of Maryland, College Park, Maryland 20742

Received 10 January 2001; published in the issue dated 25 June 2001

A statistic, the BV (bred vector) dimension, is introduced to measure the effective local finite-time dimensionality of a spatiotemporally chaotic system. It is shown that the Earth’s atmosphere often has low BV dimension, and the implications for improving weather forecasting are discussed.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.86.5878

DOI:

10.1103/PhysRevLett.86.5878

PACS:

05.45.Jn, 89.75.-k, 92.60.Wc

^*Institute for Physical Science and Technology and Department of Mathematics.

^†Email address: dpatil@ipst.umd.edu

^‡

^§Department of Meteorology.

^**

^††Institute for Plasma Research and Departments of Physics and of Electrical Engineering.

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Phys. Rev. Lett. 86, 5878–5881 (2001)

Local Low Dimensionality of Atmospheric Dynamics