Resumen de Poincaré–Andronov–Hopf Bifurcation and the Local Hilbert’s 16th Problem

Jean-Pierre Françoise

• This survey on the Hopf bifurcation (in a broad sense) has been written in order to clarify some aspects in the light of recent progresses made in the local Hilbert’s 16th problem. As a practical guide, it can be of potential interest for applications. It includes dynamical and multi-scales versions.