Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 157, Issue 6, Pages 1097-1113Publisher
SPRINGER
DOI: 10.1007/s10955-014-1101-0
Keywords
Impulsive dynamical system; Invariant measure; Non-wandering set
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Funding
- European Regional Development Fund through the program COMPETE
- Portuguese Government through the FCT - Fundacao para a Ciencia e a Tecnologia [PEst-C/MAT/UI0144/2013]
- Fundacao Calouste Gulbenkian
- [PTDC/MAT/120346/2010]
- Fundação para a Ciência e a Tecnologia [PTDC/MAT/120346/2010] Funding Source: FCT
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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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