Invariant Probability Measures and Non-wandering Sets for Impulsive Semiflows

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
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Zusammenfassung: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-014-1101-0