Chaos Theory Courses and Certifications

ICTP Mathematics

Dynamical Systems - Lecture 04

Explore advanced concepts in dynamical systems theory, focusing on mathematical principles and applications in complex systems analysis and modeling.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Steve Brunton

Numerical Integration of Chaotic Dynamics - Uncertainty Propagation & Vectorized Integration

Explore chaos and uncertainty propagation in dynamical systems through numerical integration. Learn efficient vectorization techniques in Python and MATLAB for faster computations.

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

Steve Brunton

Hankel Alternative View of Koopman - HAVOK Analysis

Decompose chaos into linear systems with intermittent forcing using HAVOK analysis. Learn to build linear regression models on eigen-time-delay coordinates for complex dynamical systems.

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

Ross Dynamics Lab

Generating Function of a Canonical Transformation - Examples and the Big Picture

Explore generating functions for canonical transformations in Hamiltonian systems. Learn about harmonic oscillator examples, near-identity transformations, and connections to quantum mechanics and gauge invariance.

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

Ross Dynamics Lab

Stability of Periodic Orbits - Floquet Theory - Stable and Unstable Invariant Manifolds

Explore stability of periodic orbits using Floquet theory. Learn about monodromy matrices, Floquet multipliers, and invariant manifolds in Hamiltonian systems. Understand the foundations of chaos in dynamical systems.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Quantum Aspects of Black Holes - Lecture 2

Explores quantum aspects of black holes, covering Schwarzschild solutions, ER=EPR, AMPS paradox, 2D gravity models, chaos in quantum systems, and the connection between black holes and quantum information theory.

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

International Centre for Theoretical Sciences

Introduction to Dynamical Systems - Lecture 1

Explore dynamical systems, from linear ODEs to nonlinear chaos. Learn about equilibrium points, eigenvalues, attractors, and bifurcations. Gain insights into Lorenz systems, Poincaré maps, and iterative methods.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

media.ccc.de

Thrust Is Not an Option - How to Get to Mars Really Slow

Explore low-energy space trajectories using chaos theory and three-body problem physics. Learn about orbital mechanics, Lagrangian points, and the interplanetary transport network for efficient space travel.

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

The Aspen Institute

The Problem with Categories - Rethinking Order in Chaos

Exploring the power of words, categorization, and meaning-making in times of chaos. Discusses the impact of labels on society and the potential for language to reshape our world.

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

awwwards.

Design Like a Supervillain - An Ode to Chaos and Creativity

Embrace chaos and failure in creative processes to foster innovation in digital products and branding. Learn from supervillains to challenge norms and push boundaries in design.

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

PyCon US

The Joy of Creating Art with Code

Explore the fusion of art and code through generative algorithms, creating autonomous aesthetic forms using Processing and PyCairo. Learn about randomness, shapes, and advanced techniques like fractals and genetic algorithms.

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

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
• Self-Paced
• Free Video

Insights into Mathematics

Algebraic Structure on the Euclidean Projective Line - Rational Geometry Math Foundations 137

Explores algebraic structure on the Euclidean projective line, covering projective formulas, isometries, rotations, and their compositions. Connects to chaos theory and complex number multiplication.

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