A numerical study of spontaneous bifurcation

摘要

In the study of nonlinear boundary value problems it has been observed that bifurcations may take place which are not local to the origin in function space. In such problems the analysis of the bifurcation and the computation of solutions is complicated by the nonlocal nature of the bifurcation and the multiplicity of solutions. In this work a model problem exhibiting this phenomena, which has been of recent interest, is numerically studied. The method of alternative problems is employed to provide a complete numerical description of the bifurcation occurring in the model problem.