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Consider the system x' = (0 8; -2 a)x, find all the values of a so that the origin is asymptotically unstable spiral point.
Consider the system x' = (0 8; -2 a)x, find all the values of a so that the origin is asymptotically unstable spiral point.
Find all the values of k for which solutions of the system x' = (-2 -1; k 0)x spiral into the origin as t approaches infinity.