Bifurcations for turing instability without SO(2) symmetry

Toshiyuki Ogawa, Takashi Okuda

Research output: Contribution to journalArticlepeer-review


In this paper, we consider the Swift-Hohenberg equation with perturbed boundary conditions. We do not a priori know the eigenfunctions for the linearized problem since the SO(2) symmetry of the problem is broken by perturbation. We show that how the neutral stability curves change and, as a result, how the bifurcation diagrams change by the perturbation of the boundary conditions.

Original languageEnglish
Pages (from-to)869-877
Number of pages9
Issue number6
Publication statusPublished - 2007


  • Imperfect pitchfork bifurcation
  • Perturbed boundary conditions
  • Turing instability


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