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Pseudo-circle as an attractor with non-unique rotation vector

Date
Dec 5, 2013
Time
2:00 PM - 3:00 PM
Speaker
Jan Boronski
Affiliation
University of Science und Technology, Krakow
Series
TUD Mathematik AG Analysis & Stochastik
Language
en
Main Topic
Mathematik
Other Topics
Mathematik
Host
Dr. T. Oertel-Jäger
Description
My talk will focus on 1-dimensional indecomposable continua arising as attractors in surface dynamics. Special attention will be given to the pseudo-circle, a peculiar cofrontier first described by R.H. Bing in 1951. Among some other results, taking advantage of Barge-Martin's method of constructing attractors as inverse limits of graphs, I will outline a recent construction of a torus homeomorphism h with an invariant pseudo-circle C, such that the rotation vector of h on C is not unique (joint work with P. Oprocha). Time permitting, part of my talk will also revisit the connection between chaos and indecomposability.
Links

Last modified: Nov 28, 2013, 11:35:36 AM

Location

TUD Willers-Bau (WIL A 124)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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