Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2003 · 108 citations · 34 references
Natural SciencesChemical EngineeringChemistryCatalysisPattern FormationPhysical ChemistryBifurcation TheoryChaos TheoryNonlinear DynamicsReaction DynamicsTurbulenceTurbulent FlowChaos In Dynamical SystemsCo OxidationHilbert TransformLocalized PatternsOscillatory PatternsOxidationSpatiotemporal ChaosSpatiotemporal Pattern Formation
Experiments with catalytic oxidation of carbon monoxide on Pt(110) show that chemical turbulence in this system can be suppressed by application of appropriate global delayed feedback. Different spatiotemporal patterns, seen near the transition from turbulence to uniform oscillations, are investigated. Such patterns include intermittent turbulence, oscillatory standing waves, cellular structures, and phase clusters. Using a method based on the Hilbert transform, spatial distributions of local phase and amplitude in these patterns are reconstructed from the experimental data.
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Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters · 1990 · 5.4K citations
Continuous control of chaos by self-controlling feedback
K. Pyragas · Physics Letters A · 1992 · 3.3K citations