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arXiv · 2403.10909

Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability

José F. Alves·Wael Bahsoun
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Abstract

We study semiflows generated via impulsive perturbations of Lorenz flows. We prove that such semiflows admit a finite number of physical measures. Moreover, if the impulsive perturbation is small enough, we show that the physical measures of the semiflows are close, in the weak* topology, to the unique physical measure of the Lorenz flow. A similar conclusion holds for the entropies associated with the physical measures.

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José F. Alves, Wael Bahsoun. 2024-03-16. Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability. https://arxiv.org/abs/2403.10909

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