Thermodynamic limit from small lattices of coupled maps
chao-dyn
2009-10-31 v1 adap-org
Adaptation and Self-Organizing Systems
Chaotic Dynamics
Pattern Formation and Solitons
patt-sol
Abstract
We compare the behaviour of a small truncated coupled map lattice with random inputs at the boundaries with that of a large deterministic lattice essentially at the thermodynamic limit. We find exponential convergence for the probability density, predictability, power spectrum, and two-point correlation with increasing truncated lattice size. This suggests that spatio-temporal embedding techniques using local observations cannot detect the presence of spatial extent in such systems and hence they may equally well be modelled by a local low dimensional stochastically driven system.
Keywords
Cite
@article{arxiv.chao-dyn/9904009,
title = {Thermodynamic limit from small lattices of coupled maps},
author = {R. Carretero-González and S. Ørstavik and J. Huke and D. S. Broomhead and J. Stark},
journal= {arXiv preprint arXiv:chao-dyn/9904009},
year = {2009}
}
Comments
4 pages, RevTeX, 4 Postscript figures. Submitted to Phys. Rev. Lett