Accession Number:

ADA505938

Title:

Deconstructing Spatiotemporal Chaos Using Local Symbolic Dynamics

Descriptive Note:

Conference paper

Corporate Author:

ARMY AVIATION AND MISSILE RESEARCH DEVELOPMENT ENG CTR REDSTONE ARSENAL AL

Personal Author(s):

• Pethel, Shawn D.
• Corron, Ned J.

Report Date:

2008-12-01

Pagination or Media Count:

6.0

Abstract:

We find that the global symbolic dynamics of a diffusively coupled map lattice CML 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.

Descriptors:

• *SYMBOLIC PROGRAMMING
• *DYNAMICS
• *ARITHMETIC
• STRENGTH(GENERAL)
• SYMBOLS
• TOPOGRAPHIC MAPS
• DIGITAL COMPUTERS
• INTERVALS
• MODELS
• GLOBAL
• COUPLING(INTERACTION)
• WIDTH

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE