Browsing by Subject "dynamical systems"

Now showing 1 - 6 of 6

Access status: Open Access ,
Certain group dynamical systems induced by Hecke algebras
(2016) Cho, Ilwoo
In this paper, we study dynamical systems induced by a certain group $\mathfrak{T}_{N}^{K}$ embedded in the Hecke algebra $\mathcal{H}(G_{p})$ induced by the generalized linear group $G_{p} = GL_{2}(\mathbb{Q}_{p})$ over the p-adic number fields $\mathbb{Q}_{p}$ for a fixed prime $p$. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms of free probability on the Hecke algebra $\mathcal{H}(G_{p})$.
Access status: Open Access ,
Computers methods for chaos diagnostic
(Wydawnictwa AGH, 2011) Obrączka, Anna
In the paper the computers methods for chaos diagnostic in dynamical systems was described. Usually they are based on the analysis of value or behaviour of some coefficient. Among discussed properties are for example: autocorrelation, density of invariant measure or Lyapunov exponent. Its good to see that most of presented methods are based on numerical calculations, so it can be treat as good suggestion of system's behaviour, but not as mathematical proof of chaos existence.
Access status: Restricted ,
Miary dla odwzorowań odcinka
(Data obrony: 2016-07-11) Czyszczoń, Szymon
Wydział Matematyki Stosowanej
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Przestrzeń Focka oraz operatorowa linearyzacja układów dynamicznych fizyki matematycznej
(Data obrony: 2017-06-12) Wodka, Natalia
Wydział Matematyki Stosowanej
Access status: Restricted ,
Twierdzenie Szarkowskiego w trzech odsłonach
(Data obrony: 2015-12-10) Łuka, Tomasz
Wydział Matematyki Stosowanej
Access status: Restricted ,
Układy dynamiczne w praktyce giełdowej
(Data obrony: 2015-12-17) Barbacki, Rafał
Wydział Matematyki Stosowanej