Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization

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Science  29 Jun 2007:
Vol. 316, Issue 5833, pp. 1886-1889
DOI: 10.1126/science.1140858

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We used phase models to describe and tune complex dynamic structures to desired states; weak, nondestructive signals are used to alter interactions among nonlinear rhythmic elements. Experiments on electrochemical reactions on electrode arrays were used to demonstrate the power of mild model-engineered feedback to achieve a desired response. Applications are made to the generation of sequentially visited dynamic cluster patterns similar to reproducible sequences seen in biological systems and to the design of a nonlinear antipacemaker for the destruction of pathological synchronization of a population of interacting oscillators.

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