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# Finding the nature of fixed points watch

1. Hi Guys,
I'm having trouble trying to classify the nature of a couple of fixed points which I have obtained.
The fixed points for the linear system in question are
(x,z)=(0.94+1.0566i,0),(0.94-1.0566i,0).
I have used the linearisation theorem in an attempt to classify them but I have not produced anything useful.
My contour plot of the system seems to show only one fixed point, which disagrees with my two fixed points. The contour plot is below.

Does anyone know where I may have gone wrong?
2. (Original post by tsmith16)
Hi Guys,
I'm having trouble trying to classify the nature of a couple of fixed points which I have obtained.
The fixed points for the linear system in question are
(x,z)=(0.94+1.0566i,0),(0.94-1.0566i,0).
I have used the linearisation theorem in an attempt to classify them but I have not produced anything useful.
My contour plot of the system seems to show only one fixed point, which disagrees with my two fixed points. The contour plot is below.

Does anyone know where I may have gone wrong?
It might help us to know what the system is…
3. (Original post by Smaug123)
It might help us to know what the system is…
Okay, The system is given by

dx/dt=z,

dz/dt=[2/(1.88-x)-x].

Thanks
4. (Sorry, I don't know sufficient maths to answer this; I just knew the system would be helpful for people who did!)
5. (Original post by Smaug123)
(Sorry, I don't know sufficient maths to answer this; I just knew the system would be helpful for people who did!)
Ha, no problem

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