Chaos Theory Courses and Certifications

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Ross Dynamics Lab

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

2 reviews

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Harnessing Chaos and Predicting the Unpredictable with Artificial Intelligence

Explore how Reservoir Computing and AI can predict chaotic systems like weather and brain dynamics, pushing beyond traditional forecasting limits and combining knowledge-free and knowledge-based approaches.

• YouTube
• 1 hour 20 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Flexibility of Statistical Properties in Smooth Dynamics

Explore flexibility of statistical properties in smooth dynamics with Dmitry Dolgopyat. Part of an international conference celebrating Marcelo Viana's 60th birthday at IMPA, Rio de Janeiro.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Chaos and Gravity in Black Hole Physics

Explore chaos theory, black hole geometry, and quantum correlations in this advanced physics workshop, delving into the intricate connections between gravity and quantum information.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Harvard CMSA

What Mathematics Can Help Us Understand and Advance Machine Learning - ML, QML, and Dynamics

Explore the mathematical foundations of machine learning through dynamic systems, chaos theory, and tensor structures, examining their roles in neural networks and language models.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Discover AI

Intelligence at the Edge of Chaos - Understanding Complex Reasoning in Overparameterized LLMs

Explore groundbreaking research on how intelligence emerges in LLMs through complex datasets, focusing on the critical balance between order and chaos in cellular automata-based training.

• YouTube
• 30 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Parabolic Dynamics and Renormalization - An Introduction

Explore parabolic dynamical systems and their "slow" chaotic evolution through renormalization techniques, covering linear flows, horocycle flows, nilflows, and area-preserving flows.

• YouTube
• 11 hours 51 minutes
• On-Demand
• Free Video