Nonlinear Systems Courses and Certifications

Complexity Explorer

Nonlinear Dynamics - Introduction to Chaos Theory and Complex Systems

Explore chaotic systems, bifurcations, attractors, and fractal dimensions through mathematical modeling, ODE solving, and time series analysis techniques.

• YouTube
• 9 hours 43 minutes
• On-Demand
• Free Video

Control Systems Engineering from Scratch

65 ratings at Udemy

Learn all the fundamentals and concepts of Control Systems

• Udemy
• 5 hours 35 minutes
• On-Demand
• Paid Course

Differential Equations: 2x2 Systems

Explore matrix methods, graphical techniques, and modeling for 2x2 differential equation systems, from homogeneous linear to nonlinear autonomous cases.

• MITx Online
• 9 weeks, 5-8 hours a week
• On-Demand
• Free Online Course

Steve Brunton

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Explore linearization techniques for nonlinear ODEs, analyze 2x2 systems, and visualize phase portraits in this advanced engineering mathematics lecture.

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

Fields Institute

Deep Learning for Nonlinear Stability Analysis in Dynamical Systems

Explore deep learning techniques for analyzing nonlinear stability in dynamical systems, presented by Bogdan Epureanu from the University of Michigan.

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

International Mathematical Union

Mean-Field Limits for Quantum Systems and Nonlinear Gibbs Measures

Explore quantum systems, Bose-Einstein condensation, and nonlinear Gibbs measures in this advanced mathematics lecture on mean-field limits and symmetry-induced independence.

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

Institute for Pure & Applied Mathematics (IPAM)

Analytical and Empirical Tools for Nonlinear Network Observability in Autonomous Systems

Explore nonlinear network observability in autonomous systems, covering analytical and empirical tools for sensor selection, network analysis, and applications in engineering and biology.

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

Hausdorff Center for Mathematics

Antonio Esposito: Nonlinear Degenerate Cross Diffusion Systems with Nonlocal Interaction

Explores nonlinear degenerate cross-diffusion systems with nonlocal interaction, proving global existence of weak solutions using a semi-implicit JKO scheme for applications in social sciences, finance, and biology.

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

Wolfram

New Algorithms: Numerical Solution of Large Systems of Nonlinear Equations Using Monodromy

Explore a novel algorithm using monodromy to solve large systems of analytic nonlinear equations, developed during a Wolfram internship.

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

Mr. Robinson's Virtual Math Classroom

Solving Nonlinear Systems of Equations - Big Ideas Math IM2 Section 4.8

Master solving nonlinear systems of equations through comprehensive problem-solving practice, from basic concepts to complex applications, with step-by-step guidance and detailed explanations.

• YouTube
• 2 hours 56 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Classical and Quantum Nonequilibrium Dynamics of Nonlinear Nanomechanical Systems

Delve into nonequilibrium dynamics of nanomechanical systems, exploring both classical and quantum perspectives while examining nonlinear behaviors in microscopic mechanical structures.

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

NPTEL-NOC IITM

Disturbance Rejection in Linear and Nonlinear Systems - Part 2

Master techniques for handling both linear and nonlinear disturbance rejection scenarios in control systems, focusing on practical implementation methods and theoretical foundations.

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

INI Seminar Room 2

Residual Dynamic Mode Decomposition: Robust and Verified Koopmanism for Nonlinear Dynamical Systems

Discover advanced techniques in Dynamic Mode Decomposition through ResDMD methodology, focusing on robust analysis of turbulent flows and nonlinear dynamical systems with verified computational approaches.

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

JuliaHub

Acausal Modeling for Nonlinear Control and Analysis - Chemical Reaction Tank Systems

Discover how acausal modeling enables automatic derivation of nonlinear controllers, robustness analysis, and controller tuning through a practical chemical reaction tank system demonstration.

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

Kavli Institute for Theoretical Physics

Many-body Quantum Photonic Systems with Optically Interfaced Semiconductor Spin Qubits in Nonlinear Optical Resonators

Delve into quantum interactions between atoms and light, exploring semiconductor spin qubits, nonlinear optical resonators, and emerging experimental platforms for controlling quantum photonic systems.

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