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2012 | 22 | 2 | 259-267
Tytuł artykułu

Ergodic theory approach to chaos: Remarks and computational aspects

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
22
Numer
2
Strony
259-267
Opis fizyczny
Daty
wydano
2012
otrzymano
2011-02-12
poprawiono
2011-09-19
Twórcy
  • Faculty of Electrical Engineering, Automatics, Computer Science and Electronics, AGH University of Science and Technology, al. Mickiewicza 30/B-1, 30-059 Cracow, Poland
  • Department of Automatics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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