Ergodic theory approach to chaos: Remarks and computational aspects

• Autorzy: Paweł J. Mitkowski , Wojciech Mitkowski
• 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.

Słowa kluczowe

EN

ergodic theory; chaos; invariant measures; attractors; delay differential equations

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 2
• Strony: 259-267

Daty

wydano

2012

otrzymano

2011-02-12

poprawiono

2011-09-19

Twórcy

autor

Paweł J. Mitkowski

• Faculty of Electrical Engineering, Automatics, Computer Science and Electronics, AGH University of Science and Technology, al. Mickiewicza 30/B-1, 30-059 Cracow, Poland

autor

Wojciech Mitkowski

• Department of Automatics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

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Identyfikatory

DOI

10.2478/v10006-012-0019-4