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 leads 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.