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Mathematics > Dynamical Systems
Title: Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
(Submitted on 16 Mar 2024)
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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