Ib. Schwartz et I. Triandaf, CONTROLLING UNSTABLE STATES IN REACTION-DIFFUSION SYSTEMS MODELED BY TIME-SERIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 2548-2552
We introduce an algorithm for controlling unstable states of a spatiot
emporal system modeled by a time series. Control is achieved by adjust
ing an external parameter at the boundary. Our time series is taken as
the concentration from an experiment modeled by a reaction-diffusion
system. It is shown that unstable states can be maintained by performi
ng fluctuations of the concentration at the boundaries, while monitori
ng the dynamics from an interior spatial point.