Pattern formation in a surface chemical reaction with global delayed feedback
- 14 May 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 63 (6) , 066102
- https://doi.org/10.1103/physreve.63.066102
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.Keywords
This publication has 49 references indexed in Scilit:
- Resonant Phase Patterns in a Reaction-Diffusion SystemPhysical Review Letters, 2000
- Forcing oscillatory media: phase kinks vs. synchronizationPhysica D: Nonlinear Phenomena, 1999
- Resonant pattern formation in achemical systemNature, 1997
- Spatio-Temporal Pattern FormationPublished by Springer Nature ,1997
- Dynamics of spiral waves in excitable media subjected to external periodic forcingPhysical Review E, 1995
- Strong resonances of spatially distributed oscillators: a laboratory to study patterns and defectsPhysica D: Nonlinear Phenomena, 1992
- Continuous control of chaos by self-controlling feedbackPhysics Letters A, 1992
- Controlling chaosPhysical Review Letters, 1990
- Foundations of Synergetics IPublished by Springer Nature ,1990
- Chemical Oscillations, Waves, and TurbulencePublished by Springer Nature ,1984