Computing Convex Hulls of Trajectories
Andreas Löhne, Daniel Ciripoi, Nidhi Kaihnsa, and Bernd Sturmfels
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Submission date: 09. Oct. 2018
published in: Revista de la Unión Matemática Argentina, 60 (2019) 2, p. 637-662
DOI number (of the published article): 10.33044/revuma.v60n2a22
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Link to arXiv: See the arXiv entry of this preprint.
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.