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Published Online May 24, 2007
Science DOI: 10.1126/science.1140858

Reports

Submitted on February 5, 2007
Accepted on May 10, 2007

Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization

István Z. Kiss 1, Craig Rusin 1, Hiroshi Kori 2, John L. Hudson 1

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.

We have used phase models to describe and tune complex dynamic structures to desired states; weak, non-destructive signals are employed 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 desired response. Application is 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 anti-pacemaker for the destruction of pathological synchronization of a population of interacting oscillators.




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