CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python or Matlab/Octave.

Fast and embedded solvers for nonlinear optimal control and nonlinear model predictive control

Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Model, simulate, and visualize discrete nonlinear dynamical systems, chaos, and fractals

Advanced Simulation kit based on Finite Element Method (AsFem)

Tools for the exploration of chaos and nonlinear dynamics

Versatile Nonlinear Feature Selection Algorithm for High-dimensional Data

Fast, general-purpose interactive applications for complex systems

Whole-Body Nonlinear MPC for Realtime Humanoid Loco-Manipulation Planning and Control

MATLAB implementations of a variety of nonlinear programming algorithms.

Julia package for simulating Dynamics on Networks

OpTaS: An optimization-based task specification library for trajectory optimization and model predictive control.

Fatou sets in Julia (Fractals, Newton basins, Mandelbrot)

Prediction of timeseries using methods of nonlinear dynamics and timeseries analysis

Pure Julia Implementation of Geometrically Exact Beam Theory

Nonlinear Nonparametric Statistics

Estimators for probabilities, entropies, and other complexity measures derived from data in the context of nonlinear dynamics and complex systems

RobOptim Core Layer: interface and basic mathematical tools

LQR-RRT* method is used for random motion planning of a simple pendulum in it's phase plot

Nonlinear Truss Solver for Python