Géométrie, Algèbre, Dynamique et Topologie

The wild Fox-Artinarc in invariant sets of dynamical systems

by Olga POCHINKA (HSE, Russia)

Europe/Paris
Salle B318 (IMB)

Salle B318

IMB

Description

The modern qualitative theory of dynamical systems is thoroughly intertwined with the fairly young science of topology. Many strange constructions of topology are found sooner or later in dynamics of discrete or continuous dynamical systems. In the report we show that the wild Fox-Artin arc emerges naturally in invariant sets of dynamical
systems.

In particular we show how the Fox--Artinarc naturally emerges as an element of a heteroclinicintersection for regular 4-diffeomorphisms.

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