Question: 4. Consider the one-dimensional map 1 - In where n = 0.1, 2, ... and a is a parameter (a) Find all fixed points and

4. Consider the one-dimensional map 1 - In where n = 0.1, 2, ... and a is a parameter (a) Find all fixed points and investigate for what values of a the model only has non-negative fixed points. [5 Marks] (b) Calculate the stability of the fixed points found in (a) when varying a (- 00, 00 ). [10 Marks] (c) Sketch the bifurcation diagram for -2 Sa > 0. If yes, then locate all the bifurcation points

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