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Updated: Jul 7, 2026

Temporal Ordering of Dynamic Expression Data from Detailed Spatial Expression Maps
Published on: February 9, 2017
Deconstructing spatiotemporal chaos using local symbolic dynamics
Shawn D Pethel1, Ned J Corron, Erik Bollt
1AMSRD-AMR-WS-ST, U.S. Army RDECOM, Redstone Arsenal, Alabama 35898, USA.
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.
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