MAE5790-1 Course introduction and overview

MAE5790-2 One dimensional Systems

MAE5790-3 Overdamped bead on a rotating hoop

MAE5790-4 Model of an insect outbreak

MAE5790-5 Two dimensional linear systems

MAE5790-6 Two dimensional nonlinear systems fixed points

MAE5790-7 Conservative Systems

MAE5790-8 Index theory and introduction to limit cycles

Lecture 9: Testing for Closed Orbits (MAE 5790)

Lecture 10: Van der Pol Oscillator (MAE 5790)

Lecture 11: Averaging Theory for Weakly Nonlinear Oscillators (MAE 5790)

Lecture 13: Hopf Bifurcations in Aeroelastic Instabilities and Chemical Oscillators (MAE 5790)

Lecture 14: Global Bifurcations of Cycles (MAE 5790)

Lecture 15: Chaotic Waterwheel (MAE 5790)

Lecture 16: Waterwheel Equations and Lorenz Equations (MAE 5790)

Lecture 17: Chaos in the Lorenz Equations (MAE 5790)

Lecture 18: Strange Attractor for the Lorenz Equations (MAE 5790)

Lecture 19: One-Dimensional Maps (MAE 5790)

Lecture 20: Universal Aspects of Period Doubling (MAE 5790)

Lecture 21: Feigenbaum's Renormalization Analysis of Period Doubling (MAE 5790)

Lecture 22: Renormalization: Function Space and a Hands-On Calculation (MAE 5790)