Controlling chemical turbulence by global delayed feedback
- Alexander Mikhailov (Fritz-Haber-Institut der MPG, Abteilung Physikalische Chemie, Germany)
Abstract
Control of spatiotemporal chaos is one of the central problems of nonlinear dynamics. Recently, we have reported [1] suppression of chemical turbulence by global delayed feedback in the catalytic reaction of CO oxidation on platinum single-crystal surfaces. When feedback intensity was increased, spiral-wave turbulence was transformed into new intermittent chaotic regimes with cascades of reproducing and annihilating local structures on the background of uniform oscillations. The global feedback further led to the development of cluster patterns and standing waves and to the stabilization of uniform oscillations. These findings are theoretically reproduced in our simulations of the complex Ginzburg-Landau equation with global feedback [2,3] and of the realistic model of the CO oxidation reaction [4].
[1] M. Kim. M. Bertram, M. Pollmann, A. von Oertzen, A.S. Mikhailov,
H.H. Rotermund, G. Ertl, Science 292 (2001) 1357
[2] D. Battogtokh, A.S. Mikhailov, Physica D 90 (1996) 84
[3] D. Battogtokh, A. Preusser, A.S. Mikhailov, Physica D 106 (1997) 327
[4] M. Bertram, A.S. Mikhailov, Phys. Rev. E 63 (2001) 066102
