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Linearisation
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Linearisation is the process of trying to linearise a nonlinear function. This is so that we can understand what is happening at equilibrium points.
First, find equilibrium points where f(Y) = 0.
Next, differentiate these points with respect to t.
If f'(Y) If f'(Y) > 0 then Y is unstable.
If f'(Y) = 0 then revisit the Taylor Series expansion.
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- Bachelor Degree Applied Maths (Solutions to Autonomous ODEs) Note on Linearisation, created by katie.barclay on 17/06/2015.
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- katie.barclay · Jun 2015
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- Jun 30, 2016
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