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11 Nov 2019
By using the Liapunov function V (x, y) = x2 + y2, what can you say about the equilibrium point (0, 0) of the nonlinear planar system: xâ² =âx3+2xy2, yâ² = â2x2y â y3.
(a) (7 marks) By using the Liapunov function V(x, )2+y2, what can you say about the equilibrium point (0,0) of the nonlinear planar system: (b) (3 marks) Draw the phase portrait.
By using the Liapunov function V (x, y) = x2 + y2, what can you say about the equilibrium point (0, 0) of the nonlinear planar system: xâ² =âx3+2xy2, yâ² = â2x2y â y3.
(a) (7 marks) By using the Liapunov function V(x, )2+y2, what can you say about the equilibrium point (0,0) of the nonlinear planar system: (b) (3 marks) Draw the phase portrait.
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