title: Anomalous scaling on a spatiotemporally chaotic attractor.
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.
authors.affiliation: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6. ralf@sfu.ca
authors.forename: Ralf W
authors.initials: RW
authors.lastname: Wittenberg
authors.forename: Ka-Fai
authors.initials: KF
authors.lastname: Poon