Dynamical Systems & Chaos Courses and Certifications

ICTP Mathematics

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Ergodic Theory

Dive into the mathematical foundations of dynamical systems through comprehensive ergodic theory principles and applications in this advanced diploma program.

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

Steve Brunton

Koopman Spectral Analysis - Overview

Explore Koopman operator theory for dynamical systems, its recent resurgence, and applications like Dynamic Mode Decomposition in this comprehensive overview.

• YouTube
• 28 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

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

Demonology - Intelligence in Physics & Biology

1 rating

Explore the historical role of intelligence in physics and biology, from Laplace's demon to modern information theory, and its implications for understanding natural phenomena.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

The Dynamics of Computation and the Computational Power of Dynamics

Explore the intersection of computation and dynamics, examining computational models, physical systems, and mathematical concepts to understand the nature of computation and its manifestation in various forms.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Tribute Session to Jacob Palis - Dynamical Systems

Discover insights into dynamical systems through this tribute session honoring Jacob Palis, featuring expert perspectives from Brazil's premier mathematical research institute.

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

Institute for Pure & Applied Mathematics (IPAM)

Integrability and Algebraic Combinatorics

Explore cutting-edge connections between integrable probability and algebraic combinatorics through vertex models, particle systems, and symmetric functions.

• YouTube
• 19 hours 4 minutes
• Self-Paced
• Free Video

Topos Institute

Computation in Continuous Dynamics

Explore the intersection of computation and continuous dynamics through advanced mathematical concepts and their applications in this theoretical mathematics seminar from Berkeley.

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

MITCBMM

Dynamical Systems in Neuroscience

Explore cluster computing and OpenMind for brain and cognitive sciences, covering dynamical systems, models, and observation techniques in neuroscience research.

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

Institute for Advanced Study

On the Spatial Restricted Three-Body Problem - Agustin Moreno

Explore the spatial restricted three-body problem, global hypersurfaces, and Hamiltonian return maps. Learn about a higher-dimensional Poincaré-Birkhoff theorem and its applications to orbital dynamics.

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

Institute for Advanced Study

Observable Events and Typical Trajectories in Dynamical Systems - Lai-Sang Young

Explore observable events and typical trajectories in dynamical systems with Lai-Sang Young, covering SRB measures, attractors, and infinite dimensional center manifolds.

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

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 1 of 5

Explore symbolic dynamics for nonuniformly hyperbolic systems, focusing on Markov Partitions and Young Towers. Learn advanced techniques to analyze complex dynamical systems and their statistical properties.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video