title: Targeting characteristic wave properties in reaction-diffusion systems by optimization of external forcing.
abstract: We consider the targeted manipulation of reaction-diffusion waves by optimization of an external forcing parameter. As an example, we present numerical results for the FitzHugh-Nagumo system exploiting model-based optimization capable of targeting characteristic wave properties such as wavelength, shape, and propagation speed by spatiotemporally controlling electric current. The conceptual basis of our approach is optimal control of periodic orbits in a wave-variable coordinate system. The results are transferred back to the partial differential equation context and validated in numerical simulations. The whole procedure is applicable to any reaction-diffusion model.
authors.affiliation: Interdisciplinary Center for Scientific Computing, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany.
authors.forename: Jochen
authors.initials: J
authors.lastname: Siehr
authors.forename: Mario S
authors.initials: MS
authors.lastname: Mommer
authors.forename: Oliver
authors.initials: O
authors.lastname: Slaby
authors.forename: Dirk
authors.initials: D
authors.lastname: Lebiedz