Question: For the following system., determine the equilibrium points and discuss the stability of each equilibrium using Lyapunov 's (indirect) linearization method. . 2 1 XI

For the following system., determine the equilibrium points and discuss the stability of each equil·ibrium using Lyapunov 's (indirect)

linearization method.

. 2 1 XI =XI- XI - 2X1X2

' 2 1 X2 = X2 - X 2 + 2X1X2.

Sketch the flow of trajectories in the (xi, xz) phase plane and classify each equilibr·ium point (node, saddle, etc)

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