Canards in a Surface Oxidation Reaction |
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Authors: | Moehlis |
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Institution: | (1) Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544-1000, USA e-mail: jmoehlis@math.princeton.edu, US |
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Abstract: | Summary. Canards are periodic orbits for which the trajectory follows both the attracting and repelling parts of a slow manifold.
They are associated with a dramatic change in the amplitude and period of a periodic orbit within a very narrow interval of
a control parameter. It is shown numerically that canards occur in an appropriate parameter range in two- and three-dimensional
models of the platinum-catalyzed oxidation of carbon monoxide. By smoothly connecting associated stable and unstable manifolds
in an asymptotic limit, we predict parameter values at which such canards exist. The relationship between the canards and
saddle-loop bifurcations for these models is also demonstrated. Excellent agreement is found between the numerical and analytical
results. |
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Keywords: | , canards, slow manifold, singular perturbation, surface oxidation reaction |
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