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Séminaire du GERAD : One and two-dimensional dynamics of a compact interval

Séminaire du GERAD :  One and two-dimensional dynamics of a compact interval

Titre : One and two-dimensional dynamics of a compact interval

Conférencier : Damoon Robatian – Polytechnique Montréal, Canada

Résumé :

I will briefly discuss three important central concepts in the theory of dynamical systems. The first part of the talk is about introducing some basic notions in dynamics such as the omega-limit set, map-connectedness, fixed point property, etc. Then, I focus on a particular class of two-dimensional dynamical systems. Omega-limit sets are considered to be a powerful tool to understand a system. Dynamical systems of higher dimensions has not been completely studied so far. I introduce a particular two-dimensional class of dynamics, called triangular maps of the unit square, and describe their omega-limit sets in terms of the map-connectedness. The second part of the discussion is about the property of chain transitivity. The last part is dedicated to the fixed-point property. In particular, I demonstrate that a particular set of some compact sets has the fixed-point property.

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Entrée gratuite.
Bienvenue à tous.

Date

Vendredi 15 mai 2015
Débute à 10h45

Prix

gratuit

Contact

514-340-6053 6991

Lieu

Université de Montréal - Pavillon André-Aisenstadt
2920, chemin de la Tour
Montréal
QC
Canada
H3T 1N8
514 343-6111
4488

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