Software

This is the code that was used to generate and analyze the equi-M sets from our 2025 AIP Chaos paper. The repository contains the complete scripts and locked dependencies to allow reproducing the presented results.

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.

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.

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.