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.

Chaos-based application of a novel no-equilibrium chaotic system with coexisting attractors

A collection of Matlab routines for applying Peak-to-Peak Dynamics Analysis to a specified time series.

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

Bifurcation diagram calcullation for ODE-system.

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"

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

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.

MATLAB files for discovery of Poincaré maps

Code for discovering slow timescale dynamics using the SINDy method

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.

Cryptanalysis of an image scrambling encryption algorithm (ISEA).

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

Two Dimensional Fokker-Planck Solver using Matlab

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

Non-Linear Dynamic Systems