Dynamics of transcendental Henon maps. Part IV ![[ Back ] [ Back ]](/components/com_simplecalendar/assets/images/back_icon.gif)
- Date:
- 22.11.17
- Times:
- 09:00 to 11:00
- Place:
- IMUB-Universitat de Barcelona
- Speaker:
- Anna Miriam Benini
- University:
- Universitat de Barcelona
Abstract:
In this course we cover the dynamics of transcendental Henon maps. A transcendental Henon map is an automorphisms of $\C^2$ of the form $F(z,w)=(f(z)+aw,z)$ with $f:\C\to\C$ entire transcendental and $a\in\R$.
Escaping and Oscillating Wandering domains. We construct an example of a transcendental Henon map with a wandering domain whose orbits converge to infinity, and of a transcendental Henon map with n oscillating orbit of wandering domains.The first example is inspired by the construction of wandering domains in one variable while the second example is costructed using Runge approximation.