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Ergodic theory approach to chaos: Remarks and computational aspects

Paweł J. MitkowskiWojciech Mitkowski — 2012

International Journal of Applied Mathematics and Computer Science

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...

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