Dynamical systems workgroup

The Method to Construct Wandering Domains for Henon-like Family

Shaosong Liu

Friday, February 28th, 2020
4:15 PM - 5:45 PM
Hylan 1106A

We introduce the mechanism in Pierre Berger’s paper to construct automorphisms of C^2 displaying a wandering Fatou component. One main new trick is to work with a 5-parameters family: starting from the toy model, we unfold the i^th tangency to plug it at a neat position using one parameter. Meanwhile to maintain the last three ones folds in their neat position we require three other parameters. The fifth parameter is to restore the next heteroclinic tangency during perturbation. We will show the geometric model and the way it works.

Event contact: vmatusde at ur dot rochester dot edu