2 papers
math.DS2025
Rigidity of saddle loops
Daniel Panazzolo, Maja Resman, Loïc Teyssier
A saddle loop is a germ of a holomorphic foliation near a homoclinic saddle connection. We prove that they are classied by their Poincar{é} rst-return map. We also prove that they…
math.DS2024
Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits
Renato Huzak, Pavao MardeÅ¡iÄ, Maja Resman +1
We consider generic 1-parameter unfoldings of parabolic vector fields. It is known that the box dimension of orbits of their time-one maps is discontinuous at the bifurcation value…