The Numerical Solution of Nonlinear Equations Having Several Parameters . Part Iii : Equations with Z 2 - Symmetry
نویسندگان
چکیده
The computation of symmetry-breaking bifurcation points of nonlinear multiparameter problems with Z2 (reflectional) symmetry is considered. The numerical approach is based on recent work in singularity theory, which is used to construct systems of equations and inequalities characterising various types of symmetry-breaking bifurcation points. Numerical continuation methods are then used to follow paths of symmetry-breaking bifurcations, and hence compute regions in parameter space for which a problem has qualitatively similar bifurcation diagrams. The power of the numerical approach is illustrated by computations of axisymmetric flows in the finite Taylor problem.
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