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If sigma is negative, the amplitude of the perturbation will decrease. The system is in this
configuration if
. This assumption is verified if the no-dimensionnal
number is inferior to a value.
The condition of stability for is :

As we have fixed and equal to 1, the condition of stability becomes :
So if
, the soution is stable for all pertubations.
See part 3.1

*Julien Delbove*

*2000-11-23*