Geodesic
Randomly connected dynamical systems - asymptotic stability
Annales Polonici Mathematici, Tome 68 (1998) no. 1, pp. 31-50
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We give sufficient conditions for asymptotic stability of a Markov operator governing the evolution of measures due to the action of randomly chosen dynamical systems. We show that the existence of an invariant measure for the transition operator implies the existence of an invariant measure for the semigroup generated by the system.
DOI : 10.4064/ap-68-1-31-50
Keywords: dynamical systems, Markov operator, asymptotic stability 
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     title = {Randomly connected dynamical systems - asymptotic stability},
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     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-68-1-31-50/}
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Katarzyna Horbacz. Randomly connected dynamical systems - asymptotic stability. Annales Polonici Mathematici, Tome 68 (1998) no. 1, pp. 31-50. doi: 10.4064/ap-68-1-31-50

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