# Attainable Regions of Dynamical Systems

Source: [Attainable Regions of Dynamical Systems](<https://www.sota2.com/research/paper/68fa54a51e209131ce98d526>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:07:29.921Z

Authors: Nidhi Kaihnsa

Published: 2018-02-20T19:24:53.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1802.07298>)

[PDF](<https://arxiv.org/pdf/1802.07298.pdf>)