Attainable Regions of Dynamical Systems

Nidhi Kaihnsa

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Submission date: 27. Feb. 2018
Bibtex
Link to arXiv: See the arXiv entry of this preprint.

Abstract:
We present a mathematical definition for the attainable region of a dynamical system, with primary focus on mass action kinetics for chemical reactions. We characterise this region for linear dynamical systems, and we report on experiments and conjectures for weakly reversible systems with linkage class one. A construction due to Vinzant is adapted to give a representation of faces in the convex hull of trajectories.