A dynamical system is defined by * = 2x4 – 9x3 – 26x2 + 512 – 18 (a) Find and classify all the fixed points of the syste
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A dynamical system is defined by * = 2x4 – 9x3 – 26x2 + 512 – 18 (a) Find and classify all the fixed points of the syste
A dynamical system is defined by * = 2x4 – 9x3 – 26x2 + 512 – 18 (a) Find and classify all the fixed points of the system by sketching the equation in phase space and the vector field on the real line. (6 marks) (b) Sketch x(t). (4 Marks) Using linear stability analysis (x +*+n and a Taylor expand n) to characterise the fixed points of the η system i = x3 - 4x. (5 Marks)
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