Bifurcation Diagram of Saddle/Spiral Bimodal Linear Systems

We complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the respective traces T and τ: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the bifurcation set in the (T,τ)-plane and we describe the qualitative changes of the dynamical behavior at each bifurcation point.