MAT244-2014F > Quiz 4

Q4 problem 2


Yuan Bian:
Q2: 7.6 #6
r1=3i, r2=-3i
pure imaginary eigenvalue, so it's stable center
also whole soln is in the q1 fisrt post.

7.6 #6

Tao Hu:
How to determine the direction of the circular phase portrait? What is the difference between clockwise and anti-clockwise?    :o

Yuan Bian:
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."

Shuyang Wang:
Just a plot by software


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