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Feedback-controlled dynamics in a two-dimensional array of active elements

Taiji Okano and Kenji Miyakawa*

  • Department of Applied Physics, Fukuoka University, Fukuoka 814-0180, Japan

  • *Author to whom correspondence should be addressed.
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Phys. Rev. E 80, 026215 – Published 25 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.026215

Abstract

We investigate collective behaviors in a two-dimensional array of active elements controlled by time-delayed feedback, where elements are prepared by localizing the Belousov-Zhabotinsky reaction in a gel matrix. We demonstrate that both the spatial and temporal coherence can be effectively controlled by varying feedback parameters, such as the time delay and the gain. For a sufficiently high feedback gain, the fully synchronized state with low temporal coherence appears, which might be the state induced only by the delay feedback. Experimental results are approximately reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.

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Outline

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Phys. Rev. E 80, 026215– Published 25 August, 2009
  • Received 2 March 2009

© 2009 American Physical Society

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