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  • 1
    Electronic Resource
    Electronic Resource
    Modeling of the kinetic oscillations in the CO oxidation on Pt(100) (1989)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 2675-2682 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We analyze a model recently introduced by Imbihl et al. to describe the kinetic oscillations in the catalytic oxidation of CO on Pt(100). However we describe the surface reconstruction by a time dependent Ginzburg–Landau equation. With realistic values of the rate constants the region of oscillations in the PCO×PO2 diagram extends to very low values of the partial pressures (PCO=1.5×10−6 Torr, PO2=2.7×10−5 Torr) in agreement with the experimental results. In the investigation of the critical points and of the dynamics it has been possible to identify both saddle-node infinite period (SNIPER) and Hopf bifurcations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.456977
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  • 2
    Electronic Resource
    Electronic Resource
    Dissipative structures in the CO oxidation on Pt(100) (1994)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 9192-9204 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A model for the homogeneous kinetic oscillations in the CO oxidation on Pt(100) is extended to describe space dependent situations by the introduction of two diffusive-like processes. As is well known these increase the size of the instability domain. Depending on the values of the diffusion coefficients, they lead to the existence, when the surface is homogeneous, of stationary periodic space patterns besides the uniform oscillating solutions. This may be shown both theoretically through linear stability analysis or numerical computation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.466674
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  • 3
    Electronic Resource
    Electronic Resource
    Occurrence of secular terms in the Carleman embedding (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 66-70 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Secular terms occur in many perturbative solutions of nonlinear equation systems. In this work, an investigation is made of which cases they may occur in as the result of the application of the linear Carleman embedding to a system of nonlinear equations. The solution for the embedded system is written in a form that makes it convenient to see how these terms originate. Their occurrence for the general case is discussed and the results are exemplified by working out the Hénon–Heiles system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527354
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