Nonlinear Systems Courses and Certifications

Steve Brunton

Examples of Nonlinear Systems - Particle in a Potential Well

Explore nonlinear systems through the particle in a potential well example, covering Euler-Lagrange equations, vector fields, phase portraits, and damping in engineering mathematics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Stable Adaptation and Learning in Nonlinear Systems and Neural Networks

Explore nonlinear systems tools for insights on collective computation and learning in large dynamical networks, focusing on stable adaptation and implicit sparse regularization.

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

NPTEL-NOC IITM

Linearization of Nonlinear Systems

Explore the approximation of nonlinear systems and Lyapunov's first method for linearization, enhancing your understanding of system dynamics.

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

Fields Institute

Discovering Dynamics and Parameters of Nonlinear Systems from Partial Observations

Explore techniques for uncovering nonlinear system dynamics and parameters using incomplete data, enhancing understanding of complex systems and their behavior.

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

Hausdorff Center for Mathematics

Interpolatory Model Reduction for Structured Stochastic and Nonlinear Systems

Discover advanced techniques for reducing high-dimensional nonlinear stochastic systems while preserving their internal structures through multivariate rational interpolation methods.

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

Particle Filters (and Navigation)

Learn to develop and implement particle filters for nonlinear state estimation, focusing on Monte-Carlo integration, importance sampling, and resampling techniques. Apply these skills to solve indoor navigation problems.

• Coursera
• 21 hours 55 minutes
• On-Demand
• Paid Course

Society for Industrial and Applied Mathematics

Exploring the World of Coupled Oscillators - Jürgen Moser Lecture

Pioneering insights into nonlinear systems and oscillatory dynamics, exploring emergent phenomena, synchrony, and chaos. Retrospective on key contributions to the field of coupled oscillators and dynamical reduction.

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

GERAD Research Center

Nonlinear Stochastic Hybrid Optimal Control with Fixed Terminal States

Explore novel approaches for stochastic systems with fixed terminal states. Learn about Terminally Constrained Stochastic Minimum Principle and Hamilton-Jacobi equations for optimal control.

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

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Artificial Neural Networks Through the Lens of Dynamical Systems Theory

Explore artificial neural networks from a dynamical systems perspective, gaining insights into their behavior and properties.

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

Steve Brunton

Drawing Phase Portraits for Nonlinear Systems

Learn to analyze nonlinear systems by drawing phase portraits, identifying fixed points, linearizing, and inferring global dynamics. Gain practical skills in stability analysis using eigenvalues and eigenvectors.

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

ICTP Mathematics

Stabilization of Nonlinear Systems by Oscillating Controls with Application

Explore nonlinear system stabilization using oscillating controls, with applications in nonholonomic and fluid dynamics. Covers control design, Lie brackets, and energy cascades.

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

BIMSA

Characterizing and Computing the Stability Region of Singular Nonlinear Dynamical Systems

Explore advanced methods for analyzing stability regions in singular nonlinear dynamical systems through computational techniques and theoretical characterization.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Applied Algebraic Topology Network

Hands on ZigZag Persistence - Tutorial for High-Dimensional Nonlinear Systems

Dive into ZigZag persistence for analyzing high-dimensional systems like LLMs, learning statistical methods that enhance interpretability and system understanding.

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

水资源系统分析理论与应用

通过本课程线上、线下学习，使学生具备运用水资源系统分析理论与方法解决水利工程领域水资源系统优化、系统预测和综合评价等方面问题的能力。

• XuetangX
• On-Demand
• Free Online Course

Guangdong University of Technology

非线性系统

掌握非线性系统的基本理论和控制方法，从李雅普诺夫稳定性到自适应模糊控制，培养解决实际工程中复杂非线性问题的能力。

• XuetangX
• On-Demand
• Free Online Course