Computing Convex Hulls of Trajectories
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866910306934980608 |
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| author | Ciripoi, Daniel Kaihnsa, Nidhi Löhne, Andreas Sturmfels, Bernd |
| author_facet | Ciripoi, Daniel Kaihnsa, Nidhi Löhne, Andreas Sturmfels, Bernd |
| contents | We study the convex hulls of trajectories of polynomial dynamical systems. Such trajectories include real algebraic curves. The boundaries of the resulting convex bodies are stratified into families of faces. We present numerical algorithms for identifying these patches. An implementation based on the software Bensolve Tools is given. This furnishes a key step in computing attainable regions of chemical reaction networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_03547 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Computing Convex Hulls of Trajectories Ciripoi, Daniel Kaihnsa, Nidhi Löhne, Andreas Sturmfels, Bernd Dynamical Systems Metric Geometry 37xx (Primary), 37Mxx, 51Fxx (Secondary) We study the convex hulls of trajectories of polynomial dynamical systems. Such trajectories include real algebraic curves. The boundaries of the resulting convex bodies are stratified into families of faces. We present numerical algorithms for identifying these patches. An implementation based on the software Bensolve Tools is given. This furnishes a key step in computing attainable regions of chemical reaction networks. |
| title | Computing Convex Hulls of Trajectories |
| topic | Dynamical Systems Metric Geometry 37xx (Primary), 37Mxx, 51Fxx (Secondary) |
| url | https://arxiv.org/abs/1810.03547 |