Research projects

Project CEMAPRE internal

TitleParabolic dynamics of weak resonances in area-preserving maps II
ParticipantsJosé Pedro Gaivão (Principal Investigator), Vassili Gelfreich
SummaryIn this project we study the complex dynamics in a neighbourhood of an elliptic fixed point with a
weak resonance of an analytic area-preserving map.
The normal form theory suggests that there is a flower which consists of points bi-asymptotic to
fixed point. Generically, the flower splits into parabolic stable and unstable manifolds. The
splitting of the invariant manifolds is related to the Stokes phenomenon.