Chaos Theory Courses and Certifications

Arvin Ash

Is the Future of the Universe Fundamentally Predictable - What Science Says

Explore the fundamental question of whether physics can predict the future, examining Laplace's demon, chaos theory, quantum mechanics, and the limits of deterministic prediction.

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

World Science Festival

Universe or Multiverse

Explore the concept of the multiverse with renowned physicist Andrei Linde, delving into inflationary theory, string theory, and the future of cosmology in this thought-provoking lecture.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Conference Talk

Steve Brunton

Differential Equations and Dynamical Systems - Overview

Explore dynamical systems and their applications in various fields. Learn classic and modern techniques for modeling real-world phenomena, from fluid dynamics to epidemiology.

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

ICTP Mathematics

Dynamical Systems - Lecture 01

Explore fundamental concepts and applications of dynamical systems theory in this comprehensive lecture by mathematician Stefano Luzzatto.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Steve Brunton

Chaotic Dynamical Systems

Explore chaotic dynamical systems, their sensitive dependence on initial conditions, and applications in nature and engineering. Learn to recognize chaos and numerically integrate these complex systems.

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

What Will Happen Next? Chaos, Mathematics and Lemmings

Explore chaos theory through fun experiments as Professor Marcus du Sautoy demonstrates how mathematics can predict the future in some cases, but not in others, using dice, pendulums, and lemmings.

• YouTube
• 22 minutes
• Self-Paced
• Conference Talk

Steve Brunton

Coding a Fourth-Order Runge-Kutta Integrator in Python and Matlab

Learn to implement a 4th-order Runge-Kutta integrator in Python and Matlab, and apply it to simulate the chaotic Lorenz 1963 system. Gain practical coding skills for numerical integration.

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

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

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

Steve Brunton

Hankel Alternative View of Koopman Analysis

Decomposing chaos into linear systems with intermittent forcing using HAVOK analysis. Explores eigen-time-delay coordinates for regression models, offering new insights into complex dynamical systems.

• YouTube
• 47 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

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

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

Ross Dynamics Lab

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

2 ratings

Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Topology Shapes Dynamics of Higher-order Networks

Exploring how higher-order network interactions influence non-linear dynamics, synchronization, and percolation in complex systems like brain networks and climate patterns.

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

Making Sense of Chaos - A Better Economics for a Better World

Explore how complexity economics can revolutionize our understanding of global economic challenges and lead to better predictions and solutions for a more sustainable future.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video