The Forced Duffing Oscillator
WEB: https://faculty.washington.edu/kutz/a... This lecture is part of a series on advanced differential equations: asymptotics & perturbations. This lecture uses the Poincare-Lindsted method to study the behavior of the forced Duffing oscillator, a canonical equation of mathematical physics which highlights the rich and interesting effects of damped-driven systems.
▶︎
The Poincare-Lindsted Method
▶︎
Regular perturbation theory
▶︎
Modal Analysis and Mode Coupling
▶︎
The Man Who Worked At Subway, Then Solved An "Impossible" Problem
▶︎
Terence Tao on the cosmic distance ladder
▶︎
The problem with pretending quantum mechanics makes sense | Sean Carroll
▶︎
Optimal Basis Elements: The POD Expansion
▶︎
The Pendulum and Floquet Theory
▶︎
Differential equations, a tourist's guide | DE1
▶︎
Something Strange Happens When You Trust Quantum Mechanics
▶︎
Modified Green's function
▶︎
ROM introduction
▶︎
Understanding the Z-Plane
▶︎
Eigenfunction expansions
▶︎
The Duffing Oscillator
▶︎
Boundary Layer Theory
▶︎
But what is a convolution?
▶︎
How Maxwell's Equations Were Discovered
▶︎
The Most Misunderstood Concept in Physics
▶︎