Engineering complex dynamical structures: sequential patterns and desynchronization

Science. 2007 Jun 29;316(5833):1886-9. doi: 10.1126/science.1140858. Epub 2007 May 24.


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.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.