Boundary effects in extended dynamical systems
Abstract
In the framework of spatially extended dynamical systems, we present three examples in which the presence of walls lead to dynamic behavior qualitatively different from the one obtained in an infinite domain or under periodic boundary conditions. For a nonlinear reaction-diffusion model we obtain boundary-induced spatially chaotic configurations. Nontrivial average patterns arising from boundaries are shown to appear in spatiotemporally chaotic states of the Kuramoto-Sivashinsky model. Finally, walls organize novel states in simulations of the complex Ginzburg-Landau equation.
Cite
@article{arxiv.nlin/0004029,
title = {Boundary effects in extended dynamical systems},
author = {V. M. Eguiluz and E. Hernandez-Garcia and O. Piro},
journal= {arXiv preprint arXiv:nlin/0004029},
year = {2009}
}
Comments
Proceedigs of LAWNP'99. To be published in Physica A. Uses the Elsart style. This short paper is intended as a summary of our recent work on boundary influences in extended dynamical systems, with links to more detailed papers. Related material at http://www.imedea.uib.es/PhysDept/