Chaos Theory Courses and Certifications

Nonlinear Dynamics: Mathematical and Computational Approaches

Study maps and flows: unpack state space, attractors, bifurcations and the Feigenbaum number, solve chaotic systems numerically, and apply nonlinear time-series analysis to real data.

• Complexity Explorer
• Self-Paced
• Free Certificate

A Visual Approach to Nonlinear Dynamics

Build intuition for nonlinear systems through animated visuals: fixed points, bifurcations, limit cycles, chaos and strange attractors in the logistic map, Van der Pol oscillator and Lorenz system.

• Complexity Explorer
• Self-Paced
• Free Certificate

Nonlinear Dynamical System and Application

Study nonlinear dynamical systems through bifurcation, center manifold, normal form, chaos, and applications to neuron and railway wheelset models.

• XuetangX
• Self-Paced
• Free Online Course

Nonlinear Dynamics and Chaos

Explore nonlinear differential equations, chaotic systems, and numerical and analytical techniques for understanding their behavior.

• Swayam
• Available until Oct 9, 2026
• Free Online Course

Complexity Explorer

Introduction to Differential Equations

Master the fundamentals of differential equations through derivatives, computational methods, and qualitative solutions with self-guided quizzes and practical applications.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Complexity Explorer

Functions and Iterations in Dynamical Systems and Chaos

Explore the mathematical foundations of dynamical systems through functions, iterations, orbits, attractors, and stability concepts in this technical introduction.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Complexity Explorer

Dynamical Systems and Chaos

Explore mathematical chaos theory, from basic functions to strange attractors, covering bifurcations, the butterfly effect, and pattern formation in complex systems.

• YouTube
• 17 hours 40 minutes
• Self-Paced
• Free Video

Steve Brunton

AI/ML and Physics - Choosing What to Model in Physics-Informed Machine Learning

Explore the intersection of AI/ML and physics, focusing on problem formulation and incorporating physics into machine learning models. Learn through case studies and practical applications.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Dot Physics

Calculate the Three-Body Problem Just Like the San-Ti

Explore the physics of the 3-body problem, its significance in "The Three-Body Problem" media, and learn computational methods to solve it.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

The Royal Institution

Did the Universe Spring from Chaos?

Explore the origins of the universe with particle physicist Guido Tonelli, who discusses ancient and modern theories, the Higgs Boson discovery, and complex scientific concepts in an accessible manner.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Steve Brunton

Runge-Kutta Integration of ODEs and the Lorenz Equation

Learn how Runge–Kutta schemes numerically integrate nonlinear ODEs and reveal the Lorenz system’s chaotic trajectory.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Meeting Cpp

What is a Random Number and Why Should I Care - Understanding Pseudorandom Number Generators

Explore random number generation, distributions, and applications in C++. Learn about PRNGs, chaos theory, and visualize concepts through blob racing simulations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Steve Brunton

Numerical Integration of Chaotic Dynamics - Uncertainty Propagation & Vectorized Integration

Propagate uncertainty in chaotic systems by integrating trajectory bundles and speeding Python and MATLAB implementations through vectorization.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

The Royal Institution

Fearful Symmetry - The Truth and Beauty of Patterns - Lecture 5

Uncover the truth and beauty of mathematical patterns in nature, from slime mould to planetary orbits, in this captivating finale exploring how mathematics governs our world.

• YouTube
• 1 hour
• Self-Paced
• Free Video

The Royal Institution

Sunflowers and Snowflakes - The Magic Thread That Binds Our Universe - Lecture 1

Discover how mathematics serves as the magic thread binding our universe, from birthdays to chaos theory, in this captivating opening lecture by renowned mathematician Ian Stewart.

• YouTube
• 57 minutes
• Self-Paced
• Free Video