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Saddles and Nodes
Hello,
I have a phase portrait that is supposed to contain a saddle and a node, only problem is i can only see the saddle which is at about 0.25. Could someone point out where the node is? I know the pictures not that great and if you want another view just say.
Thanks

Can you post the equation that you're using?
I'm eager to find this ellusive node, it's just that I want to see if I can work it out algebraically so I know where to look.

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Ok. Its a saddlenode bifurcation and there's also another picture that im supposed to find the node on...
Here's the equation $\displaystyle u'(t) = au + v, v'(t) = \frac{1}{1+u^2}  v$
But iv'e found the node in that picture i posted. You have to extend the axis and its there.
But my next problem is to find the node when a is negative. Its only there between 0.1 and 0 according to eigenvalues but i cant see it.
a is set to 0.09 in this pic. The saddles way put to the left past 5. But wheres the node!