Book and material for the course "Time series analysis with Python" (STA-2003)

Python implementation of non-linear 6DOF GARTEUR RCAM aircraft flight dynamics model

Library to conduct experiments in population dynamics.

Algorithm to calculate the optimal tip relief modification on spur gear teeth that minimizes the meshing vibration for a certain operating condition.

Analysis scripts accompanying "Within-cycle instantaneous frequency profiles report oscillatory waveform dynamics" https://doi.org/10.1101/2021.04.12.439547

Next-generation non-linear and collapse prediction models for short to long period systems via machine learning methods

Predicting nonlinear dynamics with machine learning

Which dynamical regime is beneficial for biological systems in the context of the criticality hypothesis? Agent-based evolutionary foraging game with experiments to evaluate generalizability, ability to perform complex tasks and evolvability of agents with respect to their dynamical regime. Paper: https://arxiv.org/abs/2103.12184

The Extended Kalman filter MATLAB Toolbox for robotics. The repository contains a sample simulation and report for building understanding of the EKF algorithm.

Implementation of a non-linear Model Predictive Control (MPC) algorithm for reference traking with the addition of an Extended Kalman Filter (EKF) for state estimation and robustness to noise.

The best thing to happen to the logistic map since maps were invented

Paper: https://doi.org/10.1162/isal_a_00412 Which dynamical regime is beneficial for biological systems? Agent-based evolutionary foraging game with experiments to evaluate generalizability, ability to perform complex tasks and evolvability.

A library for encryption and decryption using a triple-pendulum based chaos generator

Code for the paper "Non-Linear Dynamics Through Linear Algebraic Lenses: Attempting to Learn the Trajectories of the Logistic Map with Artificial Neural Networks"

applies low-pass filtering on historical data of stocks and then plots its phase space

Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

Numerical demonstration and explanation of the intermediate axis theorem

This repository includes numerical integration-based solutions for solving non-linear equations. The solutions include Newton Raphson technique for algebraic equations and Euler's/Modified-Euler's/Runge-Kutta (RK4) for differential algebraic equations.

Digital Signal Processing with MATLAB