# One step beyond linear stability analysis: the amplitude equation

#### One step beyond linear stability analysis: the amplitude equation

- Event time: 11:30am
- Event date: 16th February 2011
- Speaker: Julien Tailleur (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

When studying non-linear dynamical systems, the recipe is often the same: find the equilibria, linearize the equations around them, Fourier transform the equations and compute the growth rate of the perturbations as a function of their wave-length. That's a great recipe to find a transition beyond which a system becomes unstable. What is less known is that in many cases, it is possible to compute the amplitude of the perturbations and not just its wave-length. That's the purpose of the amplitude equation, which I will present and illustrate.

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