Dynamic Padé approximants for chemical center waves

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Abstract
A model of reaction and diffusion is shown to exhibit composition center waves. The analysis is based on a Padé approximant scheme carried out in a completely self-consistent way. Evidence is given to show that these patterns may exist over a domain of wave vectors (of the outer plane wave region) that may exceed that of plane waves but may have gaps of forbidden wave vectors. Furthermore multiple centers consistent with a given outer domain may exist. Chaotic centers with shock structures may also exist as attractors in systems which also have periodic center attractors under identical conditions.

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