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Topics - Brian Bi

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Ch 9 / 9.3 problem 18
« on: March 25, 2013, 12:32:43 AM »
I'm having some trouble getting this problem to work out. There are four critical points: (0,0), (2, 1), (-2, 1), and (-2, -4). At the critical point (-2, -4), the Jacobian is \begin{pmatrix} 10 & -5 \\ 6 & 0 \end{pmatrix} with eigenvalues $5 \pm i\sqrt{5}$. Therefore it looks like it should be an unstable spiral point. However, when I plotted it, it looked like a node. Has anyone else done this problem?

http://www.math.psu.edu/melvin/phase/newphase.html

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Technical Questions / Preview
« on: February 01, 2013, 10:44:54 AM »
The preview post feature doesn't work at all. It just gets stuck at "Fetching preview..."

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