Local stability of continuous dynamical systems in the presence of non-hyperbolic equilibria
2009 - F. Balibrea, A. Martínez Plaza, J. C. Valverde Fajardo
Int. J. Bifurcation Chaos. 19, 1051-1057 (2009).
In this work we analyze what happens when the generalized conditions given in [Balibrea et al., 2008], which produce the appearance of local bifurcations of continuous dynamical systems, fail. As a result, we are able to find out some situations of local stability in the presence of nonhyperbolic equilibria.