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.