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Boundary effects in extended dynamical systems

Eguiluz, Victor M.; Hernandez-Garcia, Emilio; Piro, Oreste
Physica A 283, 48-51 (2000)

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.

This is a contribution submitted to the proceedigs of LAWNP'99.