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Originally published in Science Express on 24 May 2007
Science 29 June 2007:
Vol. 316. no. 5833, pp. 1886 - 1889
DOI: 10.1126/science.1140858
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Reports

Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization

István Z. Kiss,1 Craig G. Rusin,1 Hiroshi Kori,2 John L. Hudson1*

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.

1 Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, VA 22904–4741, USA.
2 Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810, Japan.

* To whom correspondence should be addressed. E-mail: hudson{at}virginia.edu

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Science. ISSN 0036-8075 (print), 1095-9203 (online)