Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2017
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1704.01987 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916280343199744 |
|---|---|
| author | Salgado, Luciana Silva |
| author_facet | Salgado, Luciana Silva |
| contents | In this work, it is presented a characterization of star property for a $C^1$ vector field based on Lyapunov functions. It is also obtained conditions to strong homogeneity for singular sets by using the notion of infinitesimal Lyapunov functions. As an application, we obtain some results related to singular hyperbolic sets for flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1704_01987 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Star flows: a characterization via Lyapunov functions Salgado, Luciana Silva Dynamical Systems 37D30 In this work, it is presented a characterization of star property for a $C^1$ vector field based on Lyapunov functions. It is also obtained conditions to strong homogeneity for singular sets by using the notion of infinitesimal Lyapunov functions. As an application, we obtain some results related to singular hyperbolic sets for flows. |
| title | Star flows: a characterization via Lyapunov functions |
| topic | Dynamical Systems 37D30 |
| url | https://arxiv.org/abs/1704.01987 |