Program v akademickém roce 2022/2023

24. 5. 2023

Michaela Mihoková (Matej Bel University in Banská Bystrica), Recurrence quantification analysis and some of its results of interval maps
Veronika Rýžová, On the relation between omega limit sets and alpha limit sets of backward branches on graph maps

17. 5. 2023

Matúš Dirbák (Matej Bel University in Banská Bystrica), A note on the spectrum of a minimal dynamical system

15. 3. 2023

Lenka Rucká, Generalization of one result from Sharkovsky classification of triangular maps

14. 12. 2022

Matěj Moravík, History, application and new proof of Bertrand's postulate

Veronika Rýžová, Backward orbits in dynamical systems

7. 12. 2022

Matúš Dirbák (Matej Bel University in Banská Bystrica), Minimal diffeomorphisms on homogeneous manifolds

9. 11. 2022

Michaela Mihoková (Matej Bel University in Banská Bystrica), Minimal sets on continua with a dense free interval

2. 11. 2022

Priscila Leal da Silva (Loughborough University), Global analytic solutions for the 0-equation

Abstract: Since 1993, when the celebrated Camassa-Holm equation was reobtained as a shallow water model with weak peaked solutions, much effort has been put into the study of local and global well-posedness of similar equations with applications in water waves. In this talk we consider a hydrodynamic model that lacks the conservation of the $H^1(\mathbb{R})$ norm, a crucial quantity for determination of global well-posedness in Sobolev spaces. We construct a nontrivial functional to estimate the norm of the solution and show that, under certain mild conditions, there is a unique global solution. From that, we then extend regularity of the solution by making use of the powerful machinery of Kato and Masuda and show that it is globally analytic in both variables.

19. 10. 2022

Miroslav Výbošťok (Matej Bel University in Banská Bystrica), Classification of Floyd-Auslander systems with fixed pattern, part II

12. 10. 2022

Miroslav Výbošťok (Matej Bel University in Banská Bystrica), Classification of Floyd-Auslander systems with fixed pattern, part I

 

Seminař se koná zpravidla každý lichý týden ve středu od 13:05 do 14:40 v učebně R1.