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Two-dimensional wave patterns near a Hopf–Wave interaction in a chemical model

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Abstract.

The complex behavior of a reaction-diffusion system is investigated in two dimensions near a codimension-2 point between a Hopf and a Wave bifurcation with resonant critical modes. As a result of coupling of a (ω, 0)-mode with modes (ω, k), standing waves arise in an extended region of the control parameters. Near threshold they appear with hexagonal symmetry. The selected wavenumber and the competition of two different spatial scales as a function of the control parameter agree with results calculated from Floquet analysis.

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Authors and Affiliations

  1. Departamento Ingeniería Mecánica, Universidad de Zaragoza, 50018, Zaragoza, Spain

    B. Peña

  2. Lehrstuhl Theoretische Physik, Statistische Physik und Nichtlineare Dynamik, Brandenburgische Technische Universität Cottbus, 03013, Cottbus, Germany

    M. Bestehorn

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  1. B. Peña
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  2. M. Bestehorn
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Correspondence to B. Peña.

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Peña, B., Bestehorn, M. Two-dimensional wave patterns near a Hopf–Wave interaction in a chemical model. Eur. Phys. J. Spec. Top. 146, 301–311 (2007). https://doi.org/10.1140/epjst/e2007-00188-5

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