Continuation and Local Perturbation for Multiple Bifurcations
Eugene L. Allgower, C.‐S. Chien · SIAM Journal on Scientific and Statistical Computing · 1986
We describe numerical methods for the detection of multiple bifurcations on solution paths of certain gradient maps, and for effecting the branching off via appropriate local perturbations. Our model problems are quasi-linear elliptic boundary value problems, and their discretizations via finite differences and finite elements. Sample numerical experiments are reported.