Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2503.23079 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915218649513984 |
|---|---|
| author | Thorpe, Justin Wanner, Thomas |
| author_facet | Thorpe, Justin Wanner, Thomas |
| contents | We discuss the identification of attracting sets using combinatorial multivector fields (CMVF) from Conley-Morse-Forman theory. A CMVF is a dynamical system induced by the action of a continuous dynamical system on a phase space discretization that can be represented as a Lefschetz complex. There is a rich theory under development establishing the connections between the induced and underlying dynamics and emphasizing computability. We introduce the main ideas behind this theory and demonstrate how it can be used to identify regions of interest within the global dynamics via graph-based algorithms and the connection matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finding attracting sets using combinatorial multivector fields Thorpe, Justin Wanner, Thomas Dynamical Systems We discuss the identification of attracting sets using combinatorial multivector fields (CMVF) from Conley-Morse-Forman theory. A CMVF is a dynamical system induced by the action of a continuous dynamical system on a phase space discretization that can be represented as a Lefschetz complex. There is a rich theory under development establishing the connections between the induced and underlying dynamics and emphasizing computability. We introduce the main ideas behind this theory and demonstrate how it can be used to identify regions of interest within the global dynamics via graph-based algorithms and the connection matrix. |
| title | Finding attracting sets using combinatorial multivector fields |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.23079 |