Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies
نویسندگان
چکیده
A numerical tool for the detection of degenerated symmetry breaking bifurcation points is presented. The degeneracies are classified and numerically processed on 1-D restrictions of the bifurcation equation. The test functions that characterise each of the equivalence classes are constructed by means of an equivariant numerical version of the Liapunov-Schmidt reduction. The classification supplies limited qualitative information concerning the imperfect bifurcation diagrams of the detected bifurcation points.
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عنوان ژورنال:
- Math. Comput.
دوره 68 شماره
صفحات -
تاریخ انتشار 1999