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  Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback

Bertram, M., & Mikhailov, A. S. (2003). Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback. Physical Review E, 67(03), 036207-1-036207-11. doi:10.1103/PhysRevE.67.036207.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0011-109E-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-C4A3-C
Genre: Journal Article

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PhysRevE.67.036207.pdf (Publisher version), 2MB
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2003
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APS
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 Creators:
Bertram, Matthias1, Author              
Mikhailov, Alexander S.1, Author              
Affiliations:
1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546              

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Free keywords: Ginzburg-Landau equation; Reaction-diffusion system; Belousov-Zhabotinsky reaction; Spiral waves; Controlling turbulence; Spatiotemporal chaos; Oscillatory clusters; Unstable patterns; Chemical-system; Excitable media
 Abstract: Effects of global delayed feedback on diffusion-induced turbulence are studied in a realistic model of catalytic oxidation of carbon monoxide on Pt(110). Spatiotemporal patterns resulting from numerical simulations of this model are identified and analyzed using a transformation into the phase and the amplitude of local oscillations. We find that chemical turbulence can be efficiently controlled by varying the feedback intensity and the delay time in the feedback loop. Near the transition from turbulence to uniform oscillations, various chaotic and regular spatiotemporal patterns – intermittent turbulence, two-phase clusters, cells of hexagonal symmetry, and phase turbulence – are found.

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Language(s): eng - English
 Dates: 2003-03-25
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 17730
DOI: 10.1103/PhysRevE.67.036207
 Degree: -

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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 67 (03) Sequence Number: - Start / End Page: 036207-1 - 036207-11 Identifier: ISSN: 1539-3755
CoNE: /journals/resource/954925225012