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
Hauptverfasser: Alves, José F., Carvalho, Maria
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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.
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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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