Project CEMAPRE internal
|Title||Parabolic dynamics of weak resonances in area-preserving maps|
|Participants||José Pedro Gaivão (Principal Investigator), Vassili Gelfreich|
|Summary||In 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 the
fixed point. Generically, the flower splits into parabolic stable and unstable manifolds. The
splitting of the invariant manifolds is related to the Stokes phenomenon.