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

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Bertram,  Matthias
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov,  Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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PhysRevE.67.036207.pdf
(Publisher version), 2MB

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Citation

Bertram, M., & Mikhailov, A. S. (2003). Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback. Physical Review E, 67(03), 036207-1-036207-11. doi:10.1103/PhysRevE.67.036207.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-109E-8
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.