Bifurcation delay - the case of the sequence: stable focus - unstable focus - unstable node
Dynamical Systems
2009-01-20 v1
Abstract
Let us give a two dimensional family of real vector fields. We suppose that there exists a stationary point where the linearized vector field has successively a stable focus, an unstable focus and an unstable node. When the parameter moves slowly, a bifurcation delay appears due to the Hopf bifurcation. The studied question in this article is the continuation of the delay after the focus-node bifurcation.
Cite
@article{arxiv.0901.2883,
title = {Bifurcation delay - the case of the sequence: stable focus - unstable focus - unstable node},
author = {Eric Benoît},
journal= {arXiv preprint arXiv:0901.2883},
year = {2009}
}