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…

An image encryption algorithm based on 6-dimensional hyper chaotic system and DNA encoding.

Non-Linear Dynamic Systems

Published in Nature Communications: Model-free tracking control of complex dynamical trajectories with machine learning.

Two Dimensional Fokker-Planck Solver using Matlab

JEI 2017: Cross-utilizing hyperchaotic and DNA sequences for image encryption

Cryptanalysis of an image scrambling encryption algorithm (ISEA).

Reservoir computing for short-and long-term prediction of chaotic systems, with tasks Lorenz and Mackey-Glass systems. Bayesian optimization (hyperparameter optimization algorithm) is used to tune the hyperparameters and improve the performance.

Code for discovering slow timescale dynamics using the SINDy method

MATLAB files for discovery of Poincaré maps

A collection of Matlab routines for illustrating methods for identifying Radial Basis Function (Neural) Network models for NARX-type nonlinear dynamical systems from data, incorporating prior information about the system's fixed points.

Codes for ''Machine-learning parameter tracking with partial state observation'', which published in Physical Review Research.

About the https://iris.unipa.it/retrieve/handle/10447/276402/535513/81-Minati_Chaos-2017.pdf I show a set of dynamic non linear equation that represent a good approximation of autonomous chaotic oscillator circuit. Chaos is a pervasive occurrence in these kind of circuits.

Reproducible code for our paper, "On Causal Discovery with Convergent Cross Mapping"

Code associated to the paper "Data-driven stabilization of periodic orbits"

Bifurcation diagram calcullation for ODE-system.

Homework for UCAS Nonlinear Information Processing 2024-Spring course

Simulation and animation of the Lorenz system.

This program symmetry-reduces a propagating wave. In human terms it means it places a propagating pulse, in this case an action potential, in a stationary frame of reference. Even when the pulse is deformed, the method can find a frame of reference were the dynamics look simpler.