Answers are grounded in this paper and cite their sources.
We consider symmetry-breaking simple singular points of a parameter dependent nonlinear equation g(λ ,x) = 0. Such points are intimately connected to pitchfork bifurcation points, and we show that they can be computed in a stable way using a suitable extended system. Because of the underlying symmetry this system is much simpler than other extended systems for the computation of secondary bifurcation points.
No takes yet. Share an insight, caveat, or question.
Werner et al. (1984) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: