Bifurcations for turing instability without SO(2) symmetry

Toshiyuki Ogawa, Takashi Okuda

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)869-877
ページ数9
ジャーナルKybernetika
43
6
出版ステータスPublished - 2007

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