On the formation of unique dissipative structures.
We consider a simple model for the formation of dissipative structures. In general there exists a multitude of stable final states. We show, however, that when the diffusion constant increases during the development of the system, a stationary state is reached which does not depend on the choice of initial conditions. We also show that a uniquely defined final state builds up when the system is initially strongly excited on one side.
D004058:Diffusion; D008433:Mathematics; D008954:Models, Biological; D009024:Morphogenesis