Qualitative analysis of the eigenvalue problem for two coupled Ginzburg-Landau equations

Abstract

Eigenvalue problem for two coupled Ginzburg-Landau equations is numerically investigated. The fixed points of corresponding equations system are found. The classification of these points is made. The phase portraits of corresponding ordinary differential equations and the dependence of some parameters of the equations system and the total energy on the initial values are given.

7 pages, 6 fig's