The European Physical Journal Special Topics

, Volume 146, Issue 1, pp 301–311 | Cite as

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

  • B. Peña
  • M. Bestehorn


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.


Direct Numerical Simulation Standing Wave European Physical Journal Special Topic Bifurcation Diagram Wave Interaction 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Departamento Ingeniería MecánicaUniversidad de ZaragozaZaragozaSpain
  2. 2.Lehrstuhl Theoretische Physik, Statistische Physik und Nichtlineare Dynamik, Brandenburgische Technische Universität CottbusCottbusGermany

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