Question: Consider the dynamical system x2 , i = -x1 + x2(2 3x 2x3) . Use the Poincar-Bendixson's criterion to show that the system has

Consider the dynamical system x2 , i = -x1 + x2(2 3x 2x3) . Use the Poincar-Bendixson's criterion to show that the system has a periodic orbit. [Hint: Use V(r1, x2) = x + x3.)

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