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arXiv · 2206.13001

On the ergodic theory of impulsive semiflows

S. M. Afonso·E. Bonotto·J. Siqueira
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Abstract

We consider impulsive semiflows and establish sufficient conditions to the existence of invariant measures. Namely, the impulsive set and its image are both submanifolds of codimension one that are transversal to the flow direction. Moreover, we show that under the same conditions a Variational Principle holds.

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S. M. Afonso, E. Bonotto, J. Siqueira. 2022-06-27. On the ergodic theory of impulsive semiflows. https://arxiv.org/abs/2206.13001

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