Establish the fixed point

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Reference no: EM13948405

For the system

x = x + 2y

y = 3x + y

(i) Establish the fixed point.

(ii) Derive the equations for the two isoclines and establish the vector of forces.

(iii) Derive the equation for the stable and unstable arms.

(iv) Take a point on the stable arm for x =2, and show on a spread- sheet that the trajectory does indeed move towards the origin along the arm. Plot the trajectory from point (2,- 2), and show that this trajectory moves away from the stable arm.

Reference no: EM13948405

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