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 Online 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 Online Course

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 Online Course

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

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 Online Course

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 Online 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 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

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 Online Course

Steve Brunton

Numerical Simulation of Ordinary Differential Equations - Integrating ODEs

Explore numerical integration of ODEs to analyze nonlinear systems and generate trajectories. Learn techniques for solving complex dynamics where analytic methods fall short.

• YouTube
• 24 minutes
• On-Demand
• Free Online Course

Steve Brunton

Linearizing Around a Fixed Point - Control Bootcamp

Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Capturing Turbulent Dynamics and Statistics in Experiments Using Exact Coherent States

Explore turbulent dynamics using Exact Coherent States, revealing coherent structures in experiments, forecasting turbulent evolution, and providing a geometric description of transient turbulence.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

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 Online Course

Complexity Academy

Complexity Theory an Introduction

Explore core concepts of complex systems theory, including systems theory, nonlinear systems, network theory, and adaptive systems, to gain fresh perspectives on financial systems, environment, and social organizations.

• Independent
• On-Demand
• Free Online Course

TEDx

Dogonić Teraźniejszość - Mechanizmy Skutecznego Funkcjonowania w Chaotycznej Rzeczywistości

Poznaj mechanizmy skutecznego funkcjonowania w chaotycznej rzeczywistości. Krzysztof Sarnecki omawia probabilistykę, teorię umiarkowanych zakłóceń, antykruchość i nielinearność jako narzędzia do radzenia sobie z przyszłością.

• YouTube
• 20 minutes
• On-Demand
• Free Online Course