The Dynamical Dimension of Defects in Spatiotemporal Chaos
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
Using a new time-dependent measure, we demonstrate for the first time that each defect in a representative defect-mediated spatiotemporally chaotic system is associated with one to two degrees of dynamical freedom. Furthermore, we show that not all dynamical degrees of freedom are related to the defects; additional degrees of freedom are due to underlying phase turbulence. These results yield a deeper understanding of the dynamical role of defects and provide hope that these complicated systems might be reduced to simpler descriptions.
Keywords
Cite
@article{arxiv.chao-dyn/9712009,
title = {The Dynamical Dimension of Defects in Spatiotemporal Chaos},
author = {David A. Egolf},
journal= {arXiv preprint arXiv:chao-dyn/9712009},
year = {2009}
}
Comments
3 figures