Codimension-3 bifurcation for continuous saddle bimodal linear dynamical systems
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We continue the study of the structural stability and the bifurcations of planar continuous bimodal linear dynamical systems (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming continuity along the separating line). Here, we complete the study when one of the subsystems is a saddle, leading to a 3D bifurcation diagram where a large catalogue of bifurcations appears: four surfaces of codimension-1 bifurcations; two sequences of surfaces of additional codimension-1 bifurcations; two lines of codimension-2 bifurcations; and one codimension-3 bifurcation.
CitationFerrer, J.; Peña, M.; Susin, A. Codimension-3 bifurcation for continuous saddle bimodal linear dynamical systems. "International journal of bifurcation and chaos", 1 Febrer 2018, vol. 28, núm. 2, p. 1850025:1-1850025:13.