Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916163260252160 |
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| author | Alves, José F. Bahsoun, Wael |
| author_facet | Alves, José F. Bahsoun, Wael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability Alves, José F. Bahsoun, Wael Dynamical Systems Chaotic Dynamics 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. |
| title | Impulsive Lorenz semiflows: Physical measures, statistical stability and entropy stability |
| topic | Dynamical Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2403.10909 |