13 Lyapunov functions
are the ellipses with the axes √ 2α and 2 √ α hence we must have that √ 2α < 1 and 2 √ α < 2/3, which implies that α < 1/9, which means that the largest region that we can be sure lays inside the basin of attraction is the ellipse x2 2 + y2 4 = 1 9. However, as numerical illustration shows, the actual basin of attraction is way ...
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