Elsevier

Chaos, Solitons & Fractals

Volume 5, Issue 10, October 1995, Pages 1817-1831
Chaos, Solitons & Fractals

Dynamics of concentration patterns of the NO + CO reaction on Pt: Analysis with the Karhunen-Loève decomposition

https://doi.org/10.1016/0960-0779(94)00183-QGet rights and content

Abstract

Previous studies of the reaction NO + CO12N2 + CO2 on a cylindrical single crystal of Pt have revealed a variety of spatiotemporal concentration patterns. Understanding of these patterns has been limited by the fact that they are irregular and that no well-defined structures like target patterns or spiral waves are discernible. In this study we use the Karhunen-Loève (KL) decomposition, a classical tool of statistical pattern recognition, to assist the visualization and analysis of the patterns. We find that behavior that was previously thought of as ‘turbulent’ can actually be quite low-dimensional. In general, the patterns are locally like travelling waves, with overall structure affected by the inhomogeneity of the catalyst surface. In one case, we find localized regions that are driven to subharmonic resonance by ‘more global’ oscillations. There are also cases where spatially local and global oscillations apparently coexist on the surface. Finally, the use of KL analyses of simulated data as a guide to the understanding of real data is described and discussed.

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Cited by (8)

  • Chapter 9 Non-linear Dynamics in Catalytic Reactions

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    Citation Excerpt :

    Spiral waves have attracted considerable theoretical interest but it turned out that most of their properties can already be well described within the so-called kinematic approximation worked out by Mikhailov and by Tyson and Keener which neglects the internal processes in a pulse and just considers its propagation properties (Mikhailov, 1991; Mikhailov and Zykov, 1991; Tyson and Keener, 1988). Spiral waves and target patterns are found in surface reactions displaying excitable and/or oscillatory behavior, i.e. in Pt(110)/CO + O2 (Jakubith et al., 1990; Nettesheim et al., 1993), in the NO + CO reaction on Pt(100) and its vicinals (Graham et al., 1995b; Veser and Imbihl, 1992, 1994b, 1994a), in Pt(100)/NH3 + NO (Veser et al., 1992) and in the NO + H2 reaction on Rh(110) (Mertens and Imbihl, 1994, 1996a, 1996b), Rh(533) (Schaak et al., 1999b) and Rh(111) (Janssen et al., 1996; Schaak and Imbihl, 2002). For simulating the wave patterns the ODE's describing the oscillatory/excitable point model just had to be complemented by corresponding diffusion terms.

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Permanent Address: Department of Chemical Engineering, University of Wisconsin, Madison WI 53706, USA.

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