Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback

Matthias Bertram and Alexander S. Mikhailov
Phys. Rev. E 67, 036207 – Published 25 March 2003
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Abstract

Effects of global delayed feedback on diffusion-induced turbulence are studied in a realistic model of catalytic oxidation of carbon monoxide on Pt(110). Spatiotemporal patterns resulting from numerical simulations of this model are identified and analyzed using a transformation into the phase and the amplitude of local oscillations. We find that chemical turbulence can be efficiently controlled by varying the feedback intensity and the delay time in the feedback loop. Near the transition from turbulence to uniform oscillations, various chaotic and regular spatiotemporal patterns—intermittent turbulence, two-phase clusters, cells of hexagonal symmetry, and phase turbulence—are found.

  • Received 11 December 2002

DOI:https://doi.org/10.1103/PhysRevE.67.036207

©2003 American Physical Society

Authors & Affiliations

Matthias Bertram and Alexander S. Mikhailov

  • Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195 Berlin, Germany

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Vol. 67, Iss. 3 — March 2003

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