Chaos in ODEs - Lorenz and the Double Pendulum

Explore chaos in ordinary differential equations through an in-depth examination of the Lorenz system and double pendulum in this 49-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into local and global errors, challenges with numerical integrators, and the intricacies of symplectic and variational integrators. Investigate fixed points, planetary motion, and chaotic dynamical systems while gaining practical insights through the double pendulum example. Enhance your understanding of numerical integration techniques and their applications in complex physical systems.

Introduction
Local and global errors
Chaos
Problems with numerical integrators
symplectic and variational integrators
double pendulum example
numerical integrator
the double pendulum
fixed points
planetary motion
chaotic dynamical systems