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Journal Article

Pattern formation in a surface chemical reaction with 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.63.066102.pdf
(Publisher version), 798KB

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Citation

Bertram, M., & Mikhailov, A. S. (2001). Pattern formation in a surface chemical reaction with global delayed feedback. Physical Review E, 63(6): 066102. doi:10.1103/PhysRevE.63.066102.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-184A-F
Abstract
We consider effects of global delayed feedback on anharmonic oscillations in the reaction-diffusion model of the CO oxidation reaction on a Pt(110) single-crystal surface. Depending on the feedback intensity and the delay time, we find that various spatiotemporal patterns can be induced. These patterns are characterized using a transformation to phase and amplitude variables designed for anharmonic oscillations. Typical feedback-induced patterns represent traveling phase flips, asynchronous oscillations, and dynamical clustering. Three different types of cluster patterns are identified: amplitude clusters, phase clusters, and cluster turbulence. For phase clusters, two different front instabilities are possible. A pitchfork bifurcation leads to propagation of cluster fronts. An instability of the state of phase balance results in spatial front oscillations.