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Extended system, bifurcation problem and high order singularities. (English) Zbl 0829.65076
Authors’ abstract: We consider two extended systems. When using them for the two parameter bifurcation problems, the simple bifurcation point with regard to \(\lambda\) can turn into the simple turning point with regard to \(\mu\). Simple high order bifurcation points are first studied without using the symmetry condition.
MSC:
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
47J25 Iterative procedures involving nonlinear operators
58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces
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