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Engineering Complexity
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Synchronized phase cluster states 1-4 were created by applying nonlinear time delayed feedback to a population of 64 weakly relaxational electrochemical oscillators. |
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Slow switching was engineered into a population of 4 weakly heterogeneous smooth electrochemical oscillators. The stable and unstable manifolds of the fixed points connect to one another, causing a periodic transition between multiple unstable cluster states. |
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A synchronized population of 64 relaxational oscillators was desynchronized using nonlinear time-delayed feedback. The feedback was designed to be mild such that the rhythmic behavior of the individual elements is preserved even though the collective behavior of the population is disrupted. |
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2D electrochemical waves were created by applying nearest neighbor delayed feedback to a 8x8 array of electrochemical elements with no flux boundary conditions. |
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For more information on the above videos, see the following papers:
193. Kiss, I. Z., Rusin, C. G., Kori, H. and Hudson, J. L. "Engineering complex dynamical structures: Sequential patterns and desynchronization," Science, 316 (2007).
200. Kori, H., Rusin, C. G., Kiss, I. Z. and Hudson, J. L. "Synchronization engineering: Theoretical framework and application to dynamical clustering," Chaos, 18 (2008).
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