Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
Dynamical Systems
2024-03-19 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.2403.10909,
title = {Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability},
author = {José F. Alves and Wael Bahsoun},
journal= {arXiv preprint arXiv:2403.10909},
year = {2024}
}