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Singularities and chaos in coupled systems. (English) Zbl 1153.37018
Summary: In [J. Differ. Equations 239, No. 2, 371–385 (2007; Zbl 1133.34027)] we proved that a system consisting of two brusselators linearly coupled by diffusion contains strange attractors. In this paper we will give numerical examples of the chaotic behaviour predicted by the theoretical results. Some details about error analysis, not included in [loc. cit.], will be supplied here.

MSC:
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C28 Complex behavior and chaotic systems of ordinary differential equations
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Full Text: Euclid