Study of the stability of the fractional Stokes system from nonlinear optics around the zero equlibrium state
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915546514063360 |
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| author | Ivan, Mihai |
| author_facet | Ivan, Mihai |
| contents | The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to single Stokes pulse. The dynamic behavior for this fractional model (called the fractional Stokes system) is investigated, including: the asymptotic stability around zero equilibrium state, the stabilization problem using appropriate linear controls and the numerical integration based on fractional Euler method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of the stability of the fractional Stokes system from nonlinear optics around the zero equlibrium state Ivan, Mihai Dynamical Systems 26A33, 17B66, 34A08, 65L07, 65P20 The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to single Stokes pulse. The dynamic behavior for this fractional model (called the fractional Stokes system) is investigated, including: the asymptotic stability around zero equilibrium state, the stabilization problem using appropriate linear controls and the numerical integration based on fractional Euler method. |
| title | Study of the stability of the fractional Stokes system from nonlinear optics around the zero equlibrium state |
| topic | Dynamical Systems 26A33, 17B66, 34A08, 65L07, 65P20 |
| url | https://arxiv.org/abs/2510.10130 |