1. Bifurcations for Turing instability without SO(2) symmetry
- Creator:
- Ogawa, Toshiyuki and Okuda, Takashi
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- perturbed boundary conditions, imperfect pitchfork bifurcation, and Turing instability
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public