Estimating the dimension of weather and climate attractors: Important issues about the procedure and interpretation

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Journal of the Atmospheric Sciences; (United States)

DOI:https://doi.org/10.1175/1520-0469(1993)050<2549:ETDOWA>2.0.CO;2· OSTI ID:5371073

Tsonis, A A ^[1]; Elsner, J B ^[2]; Georgakakos, K P ^[3]

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1. Univ. of Wisconsin, Milwaukee, WI (United States)
2. Florida State Univ., Tallahassee, FL (United States)
3. Univ. of Iowa, Iowa City, IA (United States)

When the reconstruction of attractors from observables is sought, the Grassberger-Procaccia algorithm for estimating the correlation dimension is often used. An overview of recent developments concerning data requirements and algorithm performance is presented. In view of these developments the significance of previously estimated dimensions of weather and climate attractors is discussed.

• OSTI ID: 5371073
• Journal Information: Journal of the Atmospheric Sciences; (United States), Journal Name: Journal of the Atmospheric Sciences; (United States) Vol. 50:15; ISSN 0022-4928; ISSN JAHSAK
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
540110*
ALGORITHMS
ATTRACTORS
CLIMATES
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
METEOROLOGY
NONLINEAR PROBLEMS
WEATHER