Determine the values of a for which V (x, y) = x2 + ay2 is a Lyapunov

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Determine the values of a for which V (x, y) = x2 + ay2 is a Lyapunov function for the system

˙ x = −x + y − x2 − y2 + xy2, ˙ y = −y + xy − y2 − x2y.

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