title: Deconstructing spatiotemporal chaos using local symbolic dynamics.
abstract: 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.
authors.affiliation: AMSRD-AMR-WS-ST, U.S. Army RDECOM, Redstone Arsenal, Alabama 35898, USA.
authors.forename: Shawn D
authors.initials: SD
authors.lastname: Pethel
authors.forename: Ned J
authors.initials: NJ
authors.lastname: Corron
authors.forename: Erik
authors.initials: E
authors.lastname: Bollt