TY - GEN
A1 - Mitkowski, Paweł J.
A1 - Mitkowski, Wojciech
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/46979/AMCS_2012_22_2_2.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/46979
KW - ergodic theory
KW - chaos
KW - invariant measures
KW - attractors
KW - delay differential equations
T1 - Ergodic theory approach to chaos: remarks and computational aspects
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=46979
ER -