Phys. Rev. Lett. 99, 214101 (2007) [4 pages]Deconstructing Spatiotemporal Chaos Using Local Symbolic DynamicsReceived 30 September 2006; published 19 November 2007 We find that the global symbolic dynamics of a diffusively coupled map lattice is well approximated by a very small local model for weak to moderate coupling strengths. A local symbolic model is a truncation of the full symbolic model to one that considers only a single element and a few neighbors. Using interval analysis, we give rigorous results for a range of coupling strengths and different local model widths. Examples are presented of extracting a local symbolic model from data and of controlling spatiotemporal chaos. URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.214101
DOI:
10.1103/PhysRevLett.99.214101
PACS:
05.45.Jn, 05.45.Ra
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