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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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TOPIC : Ordinary DE
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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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