A generalized global Hartman-Grobman theorem for asymptotically stable semiflows
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910103752409088 |
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| author | Jongeneel, Wouter |
| author_facet | Jongeneel, Wouter |
| contents | Recently, Kvalheim and Sontag provided a generalized global Hartman-Grobman theorem for equilibria under asymptotically stable continuous vector fields. By leveraging topological properties of Lyapunov functions, their theorem works without assuming hyperbolicity. We extend their theorem to a class of possibly discontinuous vector fields, in particular, to vector fields generating asymptotically stable semiflows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A generalized global Hartman-Grobman theorem for asymptotically stable semiflows Jongeneel, Wouter Dynamical Systems Systems and Control Optimization and Control Recently, Kvalheim and Sontag provided a generalized global Hartman-Grobman theorem for equilibria under asymptotically stable continuous vector fields. By leveraging topological properties of Lyapunov functions, their theorem works without assuming hyperbolicity. We extend their theorem to a class of possibly discontinuous vector fields, in particular, to vector fields generating asymptotically stable semiflows. |
| title | A generalized global Hartman-Grobman theorem for asymptotically stable semiflows |
| topic | Dynamical Systems Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2505.21401 |