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.
Mar 17th 2009, 10:59 AM
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.
Mar 17th 2009, 12:25 PM
Ok. Its a saddle-node bifurcation and there's also another picture that im supposed to find the node on...
Here's the equation
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!