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