Control and adaptation of spatio-temporal patterns

We apply a recently introduced cognitive system for dynamics recognition to a two-dimensional array of coupled oscillators. The cognitive system allow s for both the control and the adaptation of spatio-temporal patterns of th at array of oscillators. One array that shows Turing-patterns in a self-org anizational manner is viewed as an externally presented dynamics (stimulus) which is mapped onto a mirror dynamics, whereby the latter is capable to s imulate (simulus). Two of the parameters of the stimulus are thereby regard ed to be unknown and have to be estimated by the cognitive system. The cogn itive system itself consists of dynamical modules that are stimulated by th e external dynamics in the sense of Pyragas' external force control mechani sm and thereby yield measures of how good they match the stimulus. These me asures are used as weights to construct the simulus. The adaptation process is performed "on the fly", i.e., without the storage of data. The proposed cognitive system, therefore, is a prominent candidate for the construction of a control device for a permanent real time observation of an external d ynamical system in order to interfere instantaneously when necessary.