Скачать или смотреть A Particle in a Potential Well: Nonlinear Dynamics

This video shows how to derive the equations of motion for a fully nonlinear system, the particle in a potential well, from F=ma or from Lagrangian mechanics. We will linearize these equations and draw phase portraits to gain intuition about nonlinear systems.

Playlist:    • Engineering Math: Differential Equations a...  
Course Website: http://faculty.washington.edu/sbrunto...

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This video was produced at the University of Washington

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0:00 Problem setup and equations of motion
5:37 Alternative derivation from Euler-Lagrange equations
10:13 Simple pendulum example
12:03 Sneak peak of next lecture