Suppose F and G are [tex]c^2[/tex] and [tex] F_x = F_y = G_x = G_y = 0 [/tex] at the origin. Must the origin be an asymptotically stable equilibrium point?(adsbygoogle = window.adsbygoogle || []).push({});

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Give an explicit example of a DE with exactly two saddle points and no other equilibria. Anybody? Could I work backwards starting with the eigenvalues to form a system that has the two saddle points? This might be a dumb question.

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# Homework Help: Aymptotically stable?

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