Toronto Math Forum
MAT244-2014F => MAT244 Math--Tests => Quiz 4 => Topic started by: Yuan Bian on November 12, 2014, 09:03:38 PM
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Q2: 7.6 #6
r2+9=0
r1=3i, r2=-3i
pure imaginary eigenvalue, so it's stable center
also whole soln is in the q1 fisrt post.
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7.6 #6
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How to determine the direction of the circular phase portrait? What is the difference between clockwise and anti-clockwise? :o
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from prof Victor Ivrii : "Why you just don't learn a very simple criteria for the center or focus: if the top-right element of 2×2 matrix is >0 the orientation is clock-wise; otherwise it is counter-clock-wise."
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Just a plot by software