Anomalous Scaling on a Spatiotemporally Chaotic Attractor
Chaotic Dynamics
2010-06-02 v1 Pattern Formation and Solitons
Abstract
The Nikolaevskiy model for pattern formation with continuous symmetry exhibits spatiotemporal chaos with strong scale separation. Extensive numerical investigations of the chaotic attractor reveal unexpected scaling behavior of the long-wave modes. Surprisingly, the computed amplitude and correlation time scalings are found to differ from the values obtained by asymptotically consistent multiple-scale analysis. However, when higher-order corrections are added to the leading-order theory of Matthews and Cox, the anomalous scaling is recovered.
Keywords
Cite
@article{arxiv.1006.0189,
title = {Anomalous Scaling on a Spatiotemporally Chaotic Attractor},
author = {Ralf W. Wittenberg and Ka-Fai Poon},
journal= {arXiv preprint arXiv:1006.0189},
year = {2010}
}
Comments
6 pages, 6 figures