Invariant Probability Measures and Non-wandering Sets for Impulsive Semiflows
We consider impulsive dynamical systems defined on compact metric spaces and their respective impulsive semiflows. We establish sufficient conditions for the existence of probability measures which are invariant under such impulsive semiflows. Under these conditions we also deduce the forward invari...
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Veröffentlicht in: | Journal of statistical physics 2014-12, Vol.157 (6), p.1097-1113 |
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creator | Alves, José F. Carvalho, Maria |
description | We consider impulsive dynamical systems defined on compact metric spaces and their respective impulsive semiflows. We establish sufficient conditions for the existence of probability measures which are invariant under such impulsive semiflows. Under these conditions we also deduce the forward invariance of their non-wandering sets except the discontinuity points. |
doi_str_mv | 10.1007/s10955-014-1101-0 |
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subjects | Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical |
title | Invariant Probability Measures and Non-wandering Sets for Impulsive Semiflows |
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