- Tytuł:
- Ergodic theory approach to chaos: remarks and computational aspects
- Autorzy:
-
Mitkowski, P. J.
Mitkowski, W. - Powiązania:
- https://bibliotekanauki.pl/articles/331446.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
twierdzenie ergodyczne
chaos
miara niezmiennicza
ergodic theory
invariant measures
attractors
delay differential equations - Opis:
- We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show some characteristic features of ergodic and mixing behaviour. Then we investigate an infinite dimensional model (delay differential equation) of erythropoiesis (red blood cell production process) formulated by Lasota. We show its computational analysis on the previously presented theory and examples. Our calculations suggest that the infinite dimensional model considered possesses an attractor of a nonsimple structure, supporting an invariant mixing measure. This observation verifies Lasota's conjecture concerning nontrivial ergodic properties of the model.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 259-267
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł