Software

mittagleffler is a library that can evaluate the two-parameter Mittag-Leffler special function to high accuracy. The core implementation is in Rust and outperforms all existing benchmarked implementations. This library was used to test the fractional Integrate-and-Fire method described in our 2025 FCAA paper.

netbrot is a little fractal visualizer implemented in Rust. It can render Mandelbrot and Julia type fractals for vector quadratic maps in the complex plane. We have used it to understand the dynamics of adjacency matrices that arise in neuroscience. It was used to generate the visualizations in our 2025 CSF paper and our 2025 Chaos paper.

orbitkit is a library that contains a selection of methods that can be used to analyse dynamical systems on networks. This includes cycle detection, cluster detection, synchrony measures, and others from the literature. These methods have been used in multiple of our papers to analyze high-dimensional neuron network models. It was used to generate the results in our 2026 Chaos paper.

polsys-rs is a Rust binding for the POLSYS_PLP Fortran code. It can be used to solve systems of high-order polynomials using homotopy methods.

pycaputo is a library that can evaluate fractional derivatives and integrals and can solve fractional-order differential equations with a wide variety of methods and operators. This library was used to implement the fractional Integrate-and-Fire method described in our 2025 FCAA paper.

This is the code that was used to perform the simulations and generate the stability diagrams from our 2026 paper "Macroscopic Multistability and Bifurcations in Theta-Neuron Networks with Distributed Delays" that is available on the arXiv. The repository contains the complete scripts and locked dependencies to allow reproducing the presented results.

This is the code that was used to generate and analyze the equi-M sets from our 2025 paper "Fractal geometry predicts dynamic differences in structural and functional connectomes" published in Chaos. The repository contains the complete scripts and locked dependencies to allow reproducing the presented results.

This is the code that was used to generate and analyze the statistical bifurcation diagrams from our 2026 paper "Gap Junction Architecture and Synchronization Clusters in the Thalamic Reticular Nuclei" published in Chaos. The repository contains the complete scripts and locked dependencies to allow reproducing the presented results.