Bifurcation delay - the case of the sequence: stable focus - unstable focus - unstable node

Details Bifurcation delay - the case of the sequence: stable focus - unstable focus - unstable node Bifurcation delay - the case of the sequence: stable focus - unstable focus - unstable node

2009-01-19

arxiv.org/abs/0901.2883v1

Mathematics

Dynamical Systems

Scientific paper

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.

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