Seminar for Dynamic Systems - doctoral dissertation defense

On Tuesday, 21/09/2021, at 16:15, Kristijan Kilassa Kvaternik (University of Zagreb, Faculty of Electrical Engineering and Computing) will give a talk in Dynamical Systems Seminar in Zagreb under the title: 

"Tangential homoclinic points locus of the Lozi map and applications."

The seminar is also a public defense of the disertation topic.

Abstract: In this seminar we will investigate homoclinic points for the fixed point of the Lozi map in the border case of their existence. Firstly, it will be proven that all homoclinic points in that case are tangential, then the notion of the zigzag structure of the stable manifold for the Lozi map will be introduced. This will finally allow us to show that all border homoclinic points are in fact iterates of two special points in the plane. Additionally, a description of the corresponding border curves in the parameter space will also be given and some related unsolved problems will be discussed.

The talk will be held via Zoom platform:

https://us02web.zoom.us/j/88154578830

Meeting ID: 881 5457 8830

Everybody is invited.