Hans H. Diebner, Axel A. Hoff, Adolf Mathias, Horst Prehn, Marco Rohrbach and Sven Sahle:

Control and Adaptation of spatio-temporal patterns

Z. Naturforsch. 56a, 663-661 (2001)


We apply a recently introduced cognitive system for dynamics recognition to a two-dimensional array of coupled oscillators. The cognitive system allows for both the control and the adaptation of spatio-temporal patterns of that array of oscillators. One array that shows Turing-patterns in a self-organizational manner is viewed as an externally presented dynamics (stimulus) which is mapped onto a mirror dynamics, whereby the latter is capable to simulate (simulus). Two of the parameters of the stimulus are thereby regarded to be unknown and have to be estimated by the cognitive system. The cognitive system itself consists of dynamical modules that are stimulated by the external dynamics in the sense of Pyragas' external force control mechanism and thereby yield measures of how good they match to the stimulus. These measures 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 dynamical system in order to interfere instantaneously when necessary.

Related publications:

H.H. Diebner, S. Sahle and A.A. Hoff: A Realtime Adaptive System for Dynamics Recognition. Chaos, Solitons & Fractals 13/4, 781-786, (2002). (abstract or pdf)

Hans H. Diebner, Axel A. Hoff, Adolf Mathias, Horst Prehn, Marco Rohrbach and Sven Sahle: Towards a Second Cybernetics Model for Cognitive Systems. Chaos, Solitons & Fractals 13/7, 1465-1474, (2002). (abstract or pdf)

Hans H. Diebner: A Simulating Cognitive System with Adaptive Capability. BioSystems 64/1-3, 141-147 (2002). (abstract or pdf)

Hans H. Diebner and Florian Grond: Usability of Synchronization for Cognitive Modeling. Chaos, Solitons & Fractals 25, 905-910 (2005). (abstract or pdf)

Related media installations:

Hans H. Diebner and Sven Sahle: Liquid Perceptron (2000/2003). A reactive simulation of a pattern forming system of coupled oscillators.