4. For the linear canonical system x' = Jx, x € R², determine the nature of the origin as a fixed point when det(J) < 0 and when det(J) > 0.

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4. For the linear canonical system r' = Jx, x € R², determine the nature of the origin as a
fixed point when det(J) <0 and when det(J) > 0.
Transcribed Image Text:4. For the linear canonical system r' = Jx, x € R², determine the nature of the origin as a fixed point when det(J) <0 and when det(J) > 0.
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