Modal Analysis and Mode Coupling

WEB: faculty.washington.edu/kutz/a...
This lecture is part of a series on advanced differential equations: asymptotics & perturbations. This lecture explores pattern forming systems and their instabilities. In this lecture, focus is given to modal analysis of patio-temporal systems, which is inherently a linear analysis for the leading order dynamics. Multiple scales expansions shows how mode coupling can occur due to forcing, nonlinearity and/or non-orthogonal modes.

[@jimlbeaver]

I feeling really fortunate to have access to this material. Thanks very much for putting so much effort into these and for sharing.

[@erockromulan9329]

Prof Kutz is doing a knowledge drop today! Nice!

[@mattkafker8400]

I've always been curious what physicists mean when they say they're studying pattern formation. This video has given me a much better idea of what pattern formation actually means from a physicists' perspective. I have seen some of these concepts before in quantum mechanics as well, but never have I heard them explained with such clarity!
Thank you for posting these lectures online, Professor. I have derived a lot of value from them, even though I am not taking your course.

[@ndmath]

I am also grateful that this material is available here.

[@AJ-et3vf]

Great video. Thank you!

[@hhhhgpppp]

Thank you for the great vid prof. Just an observation , does perhaps the exp of amplitude evolution at 10:35 have a minus sign inside? Again gr8 vid.