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Authors: Josep Ferrer , Marta Pena , Antoni Susin

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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

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

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