Uploaded May 2021 | Updated September 2026, 18 hours ago

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What are Koopman modes for nonlinear dynamical systems? And do they even exist? The short answer: maybe not.

Here we talk about when we can and can't expect for Koopman modes to exist, and we give three examples of (very simple) Liouville operators with wildly different eigenfunctions.

Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kowalski
Wrong by Dan Henig
Guardians + Tek by Craig Hardgrove