Path formulation for a modal family (Q1406590)

Summary: Persistent bifurcation diagrams in unfoldings of the modal family \(g(x,\lambda)= \varepsilon x^4+2a x^2\lambda+ \delta\lambda^2\) are described using path formulation: each bifurcation problem in the unfoldings of \(g\) is reinterpreted as a \(\lambda\)-parametrized path in the universal unfolding of \(x^4\). The space of unfolding parameters for the modal family is divided into regions where bifurcation problems are contact-equivalent and the bifurcation diagrams for these persistent problems are shown.