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 
REFERENCES [1] J. Artes, J. Llibre, J.C. Medrado and M.A. Teixeira, Piecewise linear differential systems with two real saddles, Math. Comput. Simul. 95, 2013, pp. 13–22. [1] J. Artes, J. Llibre, J.C. Medrado and M.A. Teixeira, Piecewise linear differential systems with two real saddles, Math. Comput. Simul. 95, 2013, pp. 13–22. 
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, 345350 
