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Phys. Rev. Lett. 85, 2300–2303 (2000)

Forecasting Confined Spatiotemporal Chaos with Genetic Algorithms

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Cristóbal López1, Alberto Álvarez2, and Emilio Hernández-García1
1Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-Universitat de les Illes Balears), 07071 Palma de Mallorca, Spain
2SACLANT Undersea Research Centre, 19138 San Bartolomeo, La Spezia, Italy

Received 29 March 2000; published in the issue dated 11 September 2000

A technique to forecast spatiotemporal time series is presented. It uses a proper orthogonal or Karhunen-Loève decomposition to encode large spatiotemporal data sets in a few time series, and genetic algorithms to efficiently extract dynamical rules from the data. The method works very well for confined systems displaying spatiotemporal chaos, as exemplified here by forecasting the evolution of the one-dimensional complex Ginzburg-Landau equation in a finite domain.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.2300
DOI:
10.1103/PhysRevLett.85.2300
PACS:
05.45.Tp, 05.45.Jn