Bifurcation Diagram for Saddle/Source Bimodal Linear Dynamical Systems

AUTHOR(S):

Josep Ferrer, Marta Pena, Antoni Susin

TITLE

Bifurcation Diagram for Saddle/Source Bimodal Linear Dynamical Systems

ABSTRACT

We continue the study of the structural stability and the bifurcations of planar bimodal linear dynamical systems (BLDS) (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming continuity along the separating line). Here, we enlarge the study of the bifurcation diagram of saddle/spiral BLDS to saddle/source BLDS and in particular we study the position of the homoclinic bifurcation with regard to the new improper node bifurcation.

KEYWORDS

Piecewise linear system, structural stability, bifurcation diagram

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Cite this paper

Josep Ferrer, Marta Pena, Antoni Susin. (2016) Bifurcation Diagram for Saddle/Source Bimodal Linear Dynamical Systems. International Journal of Mathematical and Computational Methods, 1, 345-350