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Explore nonlinear systems through the example of a particle in a potential well in this 50-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into Euler-Lagrange equations, vector fields, phase portraits, and damping effects. Access accompanying lecture notes and the course website for additional resources. Part of ME564 Lecture 10, taught by Steve Brunton.
Syllabus
Introduction
Overview of nonlinear systems
Particle in a potential
Euler Lagrange equations
Vector fields
Position vs velocity
Phase portrait
Damping
Optional damping
PPlane
Taught by
Steve Brunton