This is our standard library for nonlinear analysis. Many of these functions are the same we use in our services. We do have additional methods that are not public but could be made available in a future release. If you are interested in learning more, attending our workshops or webinars or using our data analysis services please contact bmchnon…

A data-driven method to calculate the Lyapunov exponent of a dynamical system employing a GRU-RNN.

Non-Linear Dynamic Systems

Python package to compute Lyapunov exponents, covariant Lyapunov vectors (CLV) and adjoints of a dynamical systems.

Python toolbox to detect limit cycles and asses their stability

Official source code of Arrhythmia Detection

Files related to my Summer of Science Report on Nonlinear Dynamics

Calculation and visualization of average maximum lyapunov exponent for a double pendulum system

Evaluate the Lyapunov Spectrum of a dynamical system described by ODEs (in Python)

Project for the Quantum Information and Computing course, 2020/2021

Coupled linear ODEs to model relationship dynamics

Lyapunov Cycle Detector is a collection of algorithms destined to study the basins of attraction of rational maps (that is, the Fatou and Julia sets). In particular, the main focus of LCD is in the detection of attracting n-cycles of said rational map and in computing its basins.

Repository for STPDP and SSRPC

Lyapunov Spectrum for Double Pendulum using GRU

Interactive CLI toolset for the analysis of periodic windows in the Rössler system using Interval Newton's method and Lyapunov exponents.

Reference implementation of parallel methods for estimating Lyapunov exponents, orders-of-magnitude faster than with previous methods, as proposed in "Generalized Orders of Magnitude for Scalable, Parallel, High-Dynamic-Range Computation" (Heinsen and Kozachkov, 2025).

This project investigates chaotic dynamics in gradient descent and proposes the use of Lyapunov exponents for hyperparameter selection in neural networks.

Compute Lyapunov exponents and Covariant-Lyapunov-Vectors of an RNN update trajectory

A repository that uses an MNIST trained deep neural network to analyze an attack's Lyapunov Exponents response.