Steve Brunton Courses

Machine Learning for Fluid Dynamics - Patterns

Explore machine learning applications in fluid dynamics, focusing on pattern extraction and coherent structure identification in high-dimensional systems.

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

Data-Driven Nonlinear Aeroelastic Models of Morphing Wings for Control

Explore data-driven modeling for morphing wings, focusing on reduced-order aeroelastic techniques and their application in model predictive control for improved aircraft performance.

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

Machine Learning for Fluid Mechanics

Overview of machine learning applications in fluid mechanics, exploring historical context, pattern recognition, reduced-order modeling, and flow control, with insights on AI's impact on this data-rich field.

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

Deep Learning of Dynamics and Coordinates with SINDy Autoencoders

Discover effective coordinate systems and models simultaneously using SINDy autoencoders, a novel approach for analyzing high-dimensional data in dynamical systems.

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

Control Theory and COVID-19 - Control Design

Exploring COVID-19 control strategies using control theory principles, including model predictive control, robustness, and addressing time delays in pandemic management.

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

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

Data-Driven Dynamical Systems Overview

Overview of data-driven approaches to tackle challenges in modern dynamical systems, exploring machine learning techniques for nonlinear and unknown dynamics, prediction, and control.

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

Machine Learning - What Is Easy, Medium, and Hard?

Explore the landscape of machine learning through case studies, examining easy, medium, and hard challenges while considering future possibilities and potential pitfalls.

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

Extremum Seeking Control in Simulink

Explore extremum-seeking control in Simulink, learning to build control topology, set initial conditions, and optimize static objective functions through practical demonstrations.

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

Data-Driven Control - Overview

Explore how machine learning optimization can discover models and effective controllers from data, revolutionizing control theory and engineering applications.

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

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

A Compressed Overview of Sparsity

Explore compressed sensing in engineering mathematics, covering sparsity, compression techniques, and L1 minimization. Learn key principles and applications beyond image processing.

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

Laplace Transform and ODEs with Forcing and Transfer Functions

Explore Laplace transforms, ODEs, and transfer functions in engineering mathematics, focusing on spring-mass-damper systems and frequency response analysis.

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

Laplace Transform and ODEs

Explore Laplace transforms and ODEs in engineering mathematics, covering key concepts like characteristic polynomials and inverse transforms with practical examples and applications.

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

Fourier Transform to Solve PDEs - 1D Heat Equation on Infinite Domain

Explore solving the 1D heat equation on an infinite domain using Fourier transforms. Learn key concepts, inverse transforms, and physical properties in engineering mathematics.

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