Stability Analysis

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MIT RES.TLL-004 Concept Vignettes
Instructor: Anthony Patera

This video introduces students to stability of equilibria. A temperature example is explored using an energy argument, and then the typical linear stability analysis framework is introduced. This framework is applied in detail to analyze a pendulum.

License: Creative Commons BY-NC-SA
  1. MIT OpenCourseWare
  2. equilibrium
  3. stability
  4. equilibrium state
  5. differential equation
  6. mean square departure
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Комментарии
Автор

Professor Patera succeeds at explaining a fairly complex matter with great clarity. Thank you!

HumbertoFioravanteFerro
Автор

At 9:46, I don't think we are *assuming* temporal behaviour of the form exp(λt), I think this is just a consequence of having a system of differential equations of the form d/dt [x]=M[x] where M is a constant matrix and x=(x, y).

edwardhartz