Computing Convex Hulls of Trajectories
Dynamical Systems
2024-01-26 v2 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1810.03547,
title = {Computing Convex Hulls of Trajectories},
author = {Daniel Ciripoi and Nidhi Kaihnsa and Andreas Löhne and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1810.03547},
year = {2024}
}
Comments
26 pages, 10 figures