Using weighted global control for stabilizing patterned states.
A general method to control a desired patterned state in reaction-diffusion processes is presented. Weighted global control is aimed to keep weighted spatially averaged properties of state variable at preset values. It is shown that weighted global control creates a stable direction in the global space of system states and affects system dynamics globally. We apply it for a specific two-component reaction-diffusion system and show that the desired pattern is attainable for a wide range of the control parameters. (c) 1999 American Institute of Physics.
Panfilov
Vadim
V
Department of Chemical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Sheintuch
Moshe
M