Tropical Dynamics Toolbox

A toolbox for visualizing and analyzing tropical dynamical systems.

This toolbox provides functions for visualizing and analyzing tropical dynamical systems. The toolbox is used in Kristiansen and Sarantaris 2026 [1]. for drawing tropical phase portraits and labelled subdivisions. The article is based on the Bachelor's thesis of the second author [2], and is used in the Master's thesis [3].

Link to Github repository: https://github.com/AHSarantaris/tropical-phase-plane

The open access article [1] is available at: https://authors.elsevier.com/sd/article/S0022039625009854

The theses [2] and [3] are available here: https://drive.google.com/drive/folders/10kvaBbQHp2HhY4TDFlY7rD-ntQwxy8yL?usp=sharing

Contact

For any question or issue related to the toolbox you are welcome to write an email to Andreas H. Sarantaris at: [e-mail]

References

[1] K. U. Kristiansen and A. H. Sarantaris, “Tropicalization of planar polynomial ODEs”, Journal of Differential Equations, volume 456, March 2026.

[2] A. H. Sarantaris, "Tropical Dynamics: Dimension Reduction and Graph Representation of Multi-Scale Polynomial Systems", 2021, Technical University of Denmark, Bachelor’s Thesis (supervised by K. U. Kristiansen).

[3] A. H. Sarantaris, "Structural Analysis of Global Bifurcation Manifolds and Chaotic Attractors through Tropicalization of Perturbed Systems", 2025, Technical University of Denmark, Master’s Thesis (supervised by C. Henriksen).