Nonlinear Systems Courses and Certifications

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

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

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

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

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

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

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
• 23 hours 55 minutes
• On-Demand
• Free Online Course (Audit)

Control Systems Engineering from Scratch

23 ratings at Udemy

Learn all the fundamentals and concepts of Control Systems

• Udemy
• 6 hours
• On-Demand
• Paid Course

Fluctuations in Complex Network-coupled Oscillators

Explore the dynamics of network-coupled oscillators, examining fluctuations and their impact on complex systems behavior and stability.

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

Transient Dynamics - The Key to Ecological Understanding - Alan Hastings, SFI + UC Davis

Explore transient dynamics in ecology, challenging classical theory focused on long-term behavior. Examine implications for modeling, management, and understanding complex ecological systems.

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

The Life and Death of a Drop - C4 Public Lectures

Explore the fascinating physics of droplet formation, breakup, and splashing, revealing surprising insights into fluid dynamics and their importance in nature and everyday life.

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

Xijing University

Introduction to Natural Science

Do you want to know how sci-tech revolution in the field of natural sciences are changing the world you live in?

• XuetangX
• On-Demand
• Free Online Course

IIT Kharagpur;  NPTEL

Advanced Theory of Ordinary Differential Equations

Comprehensive exploration of advanced ODE theory, covering existence, stability, chaos, perturbations, bifurcations, and applications in mechanical and electrical systems. Includes mathematical modeling and solution techniques.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course