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arXiv · 1802.07298

Attainable Regions of Dynamical Systems

Nidhi Kaihnsa
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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.

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Nidhi Kaihnsa. 2018-02-20. Attainable Regions of Dynamical Systems. https://arxiv.org/abs/1802.07298

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