Pattern formation in a surface chemical reaction with global delayed feedback
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.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203251
- Journal Information:
- Physical Review E, Vol. 63, Issue 6; Other Information: DOI: 10.1103/PhysRevE.63.066102; Othernumber: PLEEE8000063000006066102000001; 054106PRE; PBD: Jun 2001; ISSN 1063-651X
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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